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yexp(3)y=(yexp(4)+1)cos(x) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src]
   3     /   4    \       
y*e *y = \y*e  + 1/*cos(x)
$$y y e^{3} = \left(y e^{4} + 1\right) \cos{\left(x \right)}$$
Solución detallada
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.

La ecuación se convierte de
$$y y e^{3} = \left(y e^{4} + 1\right) \cos{\left(x \right)}$$
en
$$y y e^{3} - \left(y e^{4} + 1\right) \cos{\left(x \right)} = 0$$
Abramos la expresión en la ecuación
$$y y e^{3} - \left(y e^{4} + 1\right) \cos{\left(x \right)} = 0$$
Obtenemos la ecuación cuadrática
$$y y e^{3} - y e^{4} \cos{\left(x \right)} - \cos{\left(x \right)} = 0$$
Es la ecuación de la forma
a*y^2 + b*y + c = 0

La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$y_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$y_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = e^{3}$$
$$b = - e^{4} \cos{\left(x \right)}$$
$$c = - \cos{\left(x \right)}$$
, entonces
D = b^2 - 4 * a * c = 

(-cos(x)*exp(4))^2 - 4 * (exp(3)) * (-cos(x)) = cos(x)^2*exp(8) + 4*cos(x)*exp(3)

La ecuación tiene dos raíces.
y1 = (-b + sqrt(D)) / (2*a)

y2 = (-b - sqrt(D)) / (2*a)

o
$$y_{1} = \frac{\sqrt{e^{8} \cos^{2}{\left(x \right)} + 4 e^{3} \cos{\left(x \right)}} + e^{4} \cos{\left(x \right)}}{2 e^{3}}$$
$$y_{2} = \frac{- \sqrt{e^{8} \cos^{2}{\left(x \right)} + 4 e^{3} \cos{\left(x \right)}} + e^{4} \cos{\left(x \right)}}{2 e^{3}}$$
Gráfica
Respuesta rápida [src]
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     |     /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |           |     /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |      
     |  4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|                           5/2|  -3/2     |  4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|    5/2                       |  -3/2
     |- \/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e   |*e       I*|- \/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e   *sin(re(x))*sinh(im(x))|*e    
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y1 = -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                      2                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2                                                                                                                                                                                                                                   
$$y_{1} = \frac{i \left(- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}$$
     /    __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \           /    __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \      
     |   /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |           |   /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |      
     |4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|                           5/2|  -3/2     |4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|    5/2                       |  -3/2
     |\/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e   |*e       I*|\/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e   *sin(re(x))*sinh(im(x))|*e    
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y2 = ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                     2                                                                                                                                                                                                                                                                                                                                                                                                                                                                     2                                                                                                                                                                                                                                  
$$y_{2} = \frac{i \left(\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}$$
y2 = i*(((-(exp(5)*cos(re(x))*cosh(im(x)) + 4)*sin(re(x))*sinh(im(x)) - exp(5)*sin(re(x))*cos(re(x))*sinh(im(x))*cosh(im(x)))^2 + ((exp(5)*cos(re(x))*cosh(im(x)) + 4)*cos(re(x))*cosh(im(x)) - exp(5)*sin(re(x))^2*sinh(im(x))^2)^2)^(1/4)*sin(atan2(-(exp(5)*cos(re(x))*cosh(im(x)) + 4)*sin(re(x))*sinh(im(x)) - exp(5)*sin(re(x))*cos(re(x))*sinh(im(x))*cosh(im(x), (exp(5)*cos(re(x))*cosh(im(x)) + 4)*cos(re(x))*cosh(im(x)) - exp(5)*sin(re(x))^2*sinh(im(x))^2)/2) - exp(5/2)*sin(re(x))*sinh(im(x)))*exp(-3/2)/2 + (((-(exp(5)*cos(re(x))*cosh(im(x)) + 4)*sin(re(x))*sinh(im(x)) - exp(5)*sin(re(x))*cos(re(x))*sinh(im(x))*cosh(im(x)))^2 + ((exp(5)*cos(re(x))*cosh(im(x)) + 4)*cos(re(x))*cosh(im(x)) - exp(5)*sin(re(x))^2*sinh(im(x))^2)^2)^(1/4)*cos(atan2(-(exp(5)*cos(re(x))*cosh(im(x)) + 4)*sin(re(x))*sinh(im(x)) - exp(5)*sin(re(x))*cos(re(x))*sinh(im(x))*cosh(im(x)), (exp(5)*cos(re(x))*cosh(im(x)) + 4)*cos(re(x))*cosh(im(x)) - exp(5)*sin(re(x))^2*sinh(im(x))^2)/2) + exp(5/2)*cos(re(x))*cosh(im(x)))*exp(-3/2)/2)
Suma y producto de raíces [src]
suma
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|  4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|                           5/2|  -3/2     |  4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|    5/2                       |  -3/2   |4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|                           5/2|  -3/2     |4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|    5/2                       |  -3/2
|- \/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e   |*e       I*|- \/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e   *sin(re(x))*sinh(im(x))|*e       |\/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e   |*e       I*|\/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e   *sin(re(x))*sinh(im(x))|*e    
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-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                 2                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2                                                                                                                                                                                                                                                                                                                                                                                                                                                                     2                                                                                                                                                                                                                                  
$$\left(\frac{i \left(- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}\right) + \left(\frac{i \left(\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}\right)$$
=
/    __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \         /      __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \           /    __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \           /      __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \      
|   /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |         |     /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |           |   /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |           |     /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |      
|4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|                           5/2|  -3/2   |  4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|                           5/2|  -3/2     |4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|    5/2                       |  -3/2     |  4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|    5/2                       |  -3/2
|\/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e   |*e       |- \/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e   |*e       I*|\/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e   *sin(re(x))*sinh(im(x))|*e       I*|- \/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e   *sin(re(x))*sinh(im(x))|*e    
\                                                                                                                                                                                                                  \                                                                                                   2                                                                                                    /                              /         \                                                                                                                                                                                                                    \                                                                                                   2                                                                                                    /                              /           \                                                                                                                                                                                                                  \                                                                                                   2                                                                                                    /                              /           \                                                                                                                                                                                                                    \                                                                                                   2                                                                                                    /                              /      
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                                                                                                                2                                                                                                                                                                                                                                                                                                                                                                                                                                                                     2                                                                                                                                                                                                                                                                                                                                                                                                                                                                      2                                                                                                                                                                                                                                                                                                                                                                                                                                                                       2                                                                                                                                                                                                                                   
$$\frac{i \left(- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{i \left(\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}} + \frac{\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}$$
producto
//      __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \           /      __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \      \ //    __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \           /    __________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                            \      \
||     /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |           |     /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |      | ||   /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |           |   /                                                                                       2                                                                                                                2     /     /  /                            5\                                                  5                         /                            5\                             2            2         5\\                              |      |
||  4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|                           5/2|  -3/2     |  4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|    5/2                       |  -3/2| ||4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|                           5/2|  -3/2     |4 /  //                            5\                             2            2         5\    /  /                            5\                                                  5                       \      |atan2\- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), \4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /|    5/2                       |  -3/2|
||- \/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e   |*e       I*|- \/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e   *sin(re(x))*sinh(im(x))|*e    | ||\/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *cos|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + cos(re(x))*cosh(im(x))*e   |*e       I*|\/   \\4 + cos(re(x))*cosh(im(x))*e /*cos(re(x))*cosh(im(x)) - sin (re(x))*sinh (im(x))*e /  + \- \4 + cos(re(x))*cosh(im(x))*e /*sin(re(x))*sinh(im(x)) - cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))/  *sin|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - e   *sin(re(x))*sinh(im(x))|*e    |
|\                                                                                                                                                                                                                    \                                                                                                   2                                                                                                    /                              /           \                                                                                                                                                                                                                    \                                                                                                   2                                                                                                    /                              /      | |\                                                                                                                                                                                                                  \                                                                                                   2                                                                                                    /                              /           \                                                                                                                                                                                                                  \                                                                                                   2                                                                                                    /                              /      |
|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
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$$\left(\frac{i \left(- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{- \sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}\right) \left(\frac{i \left(\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} - e^{\frac{5}{2}} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}\right)}{2 e^{\frac{3}{2}}} + \frac{\sqrt[4]{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2} + \left(\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)},\left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 4\right) \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} + e^{\frac{5}{2}} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2 e^{\frac{3}{2}}}\right)$$
=
    /    _______________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                                                                                                                                                         \       _______________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                           _______________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                    
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    |  /  /                              2            2         5      2            2         5\      /                            5\     2            2            |atan2\-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e  - sin (re(x))*sinh (im(x))*e /|  -3    |atan2\-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e  - sin (re(x))*sinh (im(x))*e /|                                                   |     /  /                              2            2         5      2            2         5\      /                            5\     2            2            2|atan2\-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e  - sin (re(x))*sinh (im(x))*e /|  -3                                   /  /                              2            2         5      2            2         5\      /                            5\     2            2            2|atan2\-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e  - sin (re(x))*sinh (im(x))*e /|  -3                              
    |\/   \4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e  - sin (re(x))*sinh (im(x))*e /  + 4*\2 + cos(re(x))*cosh(im(x))*e / *sin (re(x))*sinh (im(x)) *cos|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e  *sin|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|                           2                       |   \/   \4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e  - sin (re(x))*sinh (im(x))*e /  + 4*\2 + cos(re(x))*cosh(im(x))*e / *sin (re(x))*sinh (im(x)) *cos |---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e        2            2         2   \/   \4*cos(re(x))*cosh(im(x)) + cos (re(x))*cosh (im(x))*e  - sin (re(x))*sinh (im(x))*e /  + 4*\2 + cos(re(x))*cosh(im(x))*e / *sin (re(x))*sinh (im(x)) *sin |---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*e        2            2         2
    |                                                                                                                                                               \                                                                                     2                                                                                     /        \                                                                                     2                                                                                     /   cos(re(x))*cosh(im(x))*e *sin(re(x))*sinh(im(x))|                                                                                                                                                                   \                                                                                     2                                                                                     /       sin (re(x))*sinh (im(x))*e                                                                                                                                                                    \                                                                                     2                                                                                     /       cos (re(x))*cosh (im(x))*e 
- I*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------
    \                                                                                                                                                                                                                                                                2                                                                                                                                                                                                                                                                                          2                        /                                                                                                                                                                           4                                                                                                                                                                                        4                                                                                                                                                                                        4                                                                                                                                                                                        4             
$$\frac{\sqrt{4 \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 2\right)^{2} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \left(- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 2 e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - 4 \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)},- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)}}{4 e^{3}} - \frac{\sqrt{4 \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 2\right)^{2} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \left(- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \cos^{2}{\left(\frac{\operatorname{atan_{2}}{\left(- 2 e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - 4 \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)},- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)}}{4 e^{3}} - i \left(\frac{\sqrt{4 \left(e^{5} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} + 2\right)^{2} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + \left(- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - 4 \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)},- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 e^{5} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} - 4 \sin{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)},- e^{5} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + e^{5} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)} + 4 \cos{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)} \right)}}{2} \right)}}{2 e^{3}} + \frac{e^{2} \sin{\left(\operatorname{re}{\left(x\right)} \right)} \cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{2}\right) - \frac{e^{2} \sin^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{e^{2} \cos^{2}{\left(\operatorname{re}{\left(x\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(x\right)} \right)}}{4}$$
-i*(sqrt((4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))^2 + 4*(2 + cos(re(x))*cosh(im(x))*exp(5))^2*sin(re(x))^2*sinh(im(x))^2)*cos(atan2(-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*exp(5)*sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))/2)*exp(-3)*sin(atan2(-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*exp(5)*sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))/2)/2 + cos(re(x))*cosh(im(x))*exp(2)*sin(re(x))*sinh(im(x))/2) - sqrt((4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))^2 + 4*(2 + cos(re(x))*cosh(im(x))*exp(5))^2*sin(re(x))^2*sinh(im(x))^2)*cos(atan2(-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*exp(5)*sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))/2)^2*exp(-3)/4 - sin(re(x))^2*sinh(im(x))^2*exp(2)/4 + sqrt((4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))^2 + 4*(2 + cos(re(x))*cosh(im(x))*exp(5))^2*sin(re(x))^2*sinh(im(x))^2)*sin(atan2(-4*sin(re(x))*sinh(im(x)) - 2*cos(re(x))*cosh(im(x))*exp(5)*sin(re(x))*sinh(im(x)), 4*cos(re(x))*cosh(im(x)) + cos(re(x))^2*cosh(im(x))^2*exp(5) - sin(re(x))^2*sinh(im(x))^2*exp(5))/2)^2*exp(-3)/4 + cos(re(x))^2*cosh(im(x))^2*exp(2)/4