u=log(sqrt(x))+sqrt(cos(y))-4*z^(1/2) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
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4 / 2 2 2 2 /atan2(-sin(re(y))*sinh(im(y)), cos(re(y))*cosh(im(y)))\ 4 / 2 2 /atan2(im(z), re(z))\ 4 / 2 2 2 2 /atan2(-sin(re(y))*sinh(im(y)), cos(re(y))*cosh(im(y)))\ 4 / 2 2 /atan2(im(z), re(z))\
/ _____________________________________________________ _________________ \ 2*re(u) - 2*\/ cos (re(y))*cosh (im(y)) + sin (re(y))*sinh (im(y)) *cos|------------------------------------------------------| + 8*\/ im (z) + re (z) *cos|-------------------| 2*re(u) - 2*\/ cos (re(y))*cosh (im(y)) + sin (re(y))*sinh (im(y)) *cos|------------------------------------------------------| + 8*\/ im (z) + re (z) *cos|-------------------| / _____________________________________________________ _________________ \
| 4 / 2 2 2 2 /atan2(-sin(re(y))*sinh(im(y)), cos(re(y))*cosh(im(y)))\ 4 / 2 2 /atan2(im(z), re(z))\| \ 2 / \ 2 / \ 2 / \ 2 / | 4 / 2 2 2 2 /atan2(-sin(re(y))*sinh(im(y)), cos(re(y))*cosh(im(y)))\ 4 / 2 2 /atan2(im(z), re(z))\|
x1 = cos|2*im(u) - 2*\/ cos (re(y))*cosh (im(y)) + sin (re(y))*sinh (im(y)) *sin|------------------------------------------------------| + 8*\/ im (z) + re (z) *sin|-------------------||*e + I*e *sin|2*im(u) - 2*\/ cos (re(y))*cosh (im(y)) + sin (re(y))*sinh (im(y)) *sin|------------------------------------------------------| + 8*\/ im (z) + re (z) *sin|-------------------||
\ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$x_{1} = i e^{- 2 \sqrt[4]{\sin^{2}{\left(\operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(y\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(y\right)} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sin{\left(\operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(y\right)} \right)},\cos{\left(\operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(y\right)} \right)} \right)}}{2} \right)} + 8 \sqrt[4]{\left(\operatorname{re}{\left(z\right)}\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(z\right)},\operatorname{re}{\left(z\right)} \right)}}{2} \right)} + 2 \operatorname{re}{\left(u\right)}} \sin{\left(- 2 \sqrt[4]{\sin^{2}{\left(\operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(y\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(y\right)} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sin{\left(\operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(y\right)} \right)},\cos{\left(\operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(y\right)} \right)} \right)}}{2} \right)} + 8 \sqrt[4]{\left(\operatorname{re}{\left(z\right)}\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(z\right)},\operatorname{re}{\left(z\right)} \right)}}{2} \right)} + 2 \operatorname{im}{\left(u\right)} \right)} + e^{- 2 \sqrt[4]{\sin^{2}{\left(\operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(y\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(y\right)} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \sin{\left(\operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(y\right)} \right)},\cos{\left(\operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(y\right)} \right)} \right)}}{2} \right)} + 8 \sqrt[4]{\left(\operatorname{re}{\left(z\right)}\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(z\right)},\operatorname{re}{\left(z\right)} \right)}}{2} \right)} + 2 \operatorname{re}{\left(u\right)}} \cos{\left(- 2 \sqrt[4]{\sin^{2}{\left(\operatorname{re}{\left(y\right)} \right)} \sinh^{2}{\left(\operatorname{im}{\left(y\right)} \right)} + \cos^{2}{\left(\operatorname{re}{\left(y\right)} \right)} \cosh^{2}{\left(\operatorname{im}{\left(y\right)} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \sin{\left(\operatorname{re}{\left(y\right)} \right)} \sinh{\left(\operatorname{im}{\left(y\right)} \right)},\cos{\left(\operatorname{re}{\left(y\right)} \right)} \cosh{\left(\operatorname{im}{\left(y\right)} \right)} \right)}}{2} \right)} + 8 \sqrt[4]{\left(\operatorname{re}{\left(z\right)}\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\operatorname{im}{\left(z\right)},\operatorname{re}{\left(z\right)} \right)}}{2} \right)} + 2 \operatorname{im}{\left(u\right)} \right)}$$
x1 = i*exp(-2*(sin(re(y))^2*sinh(im(y))^2 + cos(re(y))^2*cosh(im(y))^2)^(1/4)*cos(atan2(-sin(re(y))*sinh(im(y), cos(re(y))*cosh(im(y)))/2) + 8*(re(z)^2 + im(z)^2)^(1/4)*cos(atan2(im(z), re(z))/2) + 2*re(u))*sin(-2*(sin(re(y))^2*sinh(im(y))^2 + cos(re(y))^2*cosh(im(y))^2)^(1/4)*sin(atan2(-sin(re(y))*sinh(im(y)), cos(re(y))*cosh(im(y)))/2) + 8*(re(z)^2 + im(z)^2)^(1/4)*sin(atan2(im(z), re(z))/2) + 2*im(u)) + exp(-2*(sin(re(y))^2*sinh(im(y))^2 + cos(re(y))^2*cosh(im(y))^2)^(1/4)*cos(atan2(-sin(re(y))*sinh(im(y)), cos(re(y))*cosh(im(y)))/2) + 8*(re(z)^2 + im(z)^2)^(1/4)*cos(atan2(im(z), re(z))/2) + 2*re(u))*cos(-2*(sin(re(y))^2*sinh(im(y))^2 + cos(re(y))^2*cosh(im(y))^2)^(1/4)*sin(atan2(-sin(re(y))*sinh(im(y)), cos(re(y))*cosh(im(y)))/2) + 8*(re(z)^2 + im(z)^2)^(1/4)*sin(atan2(im(z), re(z))/2) + 2*im(u)))