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y+2y+y=senx+3cos(2x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
y + 2*y + y = sin(x) + 3*cos(2*x)
y+(y+2y)=sin⁡(x)+3cos⁡(2x)y + \left(y + 2 y\right) = \sin{\left(x \right)} + 3 \cos{\left(2 x \right)}
Simplificar
Gráfica
Respuesta rápida [src] 
       /  3*sin(2*re(x))*sinh(2*im(x))   cos(re(x))*sinh(im(x))\   cosh(im(x))*sin(re(x))   3*cos(2*re(x))*cosh(2*im(x))
y1 = I*|- ---------------------------- + ----------------------| + ---------------------- + ----------------------------
       \               4                           4           /             4                           4
y1=i(−3sin⁡(2re⁡(x))sinh⁡(2im⁡(x))4+cos⁡(re⁡(x))sinh⁡(im⁡(x))4)+sin⁡(re⁡(x))cosh⁡(im⁡(x))4+3cos⁡(2re⁡(x))cosh⁡(2im⁡(x))4y_{1} = i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} 
y1 = i*(-3*sin(2*re(x))*sinh(2*im(x))/4 + cos(re(x))*sinh(im(x))/4) + sin(re(x))*cosh(im(x))/4 + 3*cos(2*re(x))*cosh(2*im(x))/4
Suma y producto de raíces [src] 
suma
  /  3*sin(2*re(x))*sinh(2*im(x))   cos(re(x))*sinh(im(x))\   cosh(im(x))*sin(re(x))   3*cos(2*re(x))*cosh(2*im(x))
I*|- ---------------------------- + ----------------------| + ---------------------- + ----------------------------
  \               4                           4           /             4                           4
i(−3sin⁡(2re⁡(x))sinh⁡(2im⁡(x))4+cos⁡(re⁡(x))sinh⁡(im⁡(x))4)+sin⁡(re⁡(x))cosh⁡(im⁡(x))4+3cos⁡(2re⁡(x))cosh⁡(2im⁡(x))4i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} 
=
  /  3*sin(2*re(x))*sinh(2*im(x))   cos(re(x))*sinh(im(x))\   cosh(im(x))*sin(re(x))   3*cos(2*re(x))*cosh(2*im(x))
I*|- ---------------------------- + ----------------------| + ---------------------- + ----------------------------
  \               4                           4           /             4                           4
i(−3sin⁡(2re⁡(x))sinh⁡(2im⁡(x))4+cos⁡(re⁡(x))sinh⁡(im⁡(x))4)+sin⁡(re⁡(x))cosh⁡(im⁡(x))4+3cos⁡(2re⁡(x))cosh⁡(2im⁡(x))4i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} 
producto
  /  3*sin(2*re(x))*sinh(2*im(x))   cos(re(x))*sinh(im(x))\   cosh(im(x))*sin(re(x))   3*cos(2*re(x))*cosh(2*im(x))
I*|- ---------------------------- + ----------------------| + ---------------------- + ----------------------------
  \               4                           4           /             4                           4
i(−3sin⁡(2re⁡(x))sinh⁡(2im⁡(x))4+cos⁡(re⁡(x))sinh⁡(im⁡(x))4)+sin⁡(re⁡(x))cosh⁡(im⁡(x))4+3cos⁡(2re⁡(x))cosh⁡(2im⁡(x))4i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} 
=
  /  3*sin(2*re(x))*sinh(2*im(x))   cos(re(x))*sinh(im(x))\   cosh(im(x))*sin(re(x))   3*cos(2*re(x))*cosh(2*im(x))
I*|- ---------------------------- + ----------------------| + ---------------------- + ----------------------------
  \               4                           4           /             4                           4
i(−3sin⁡(2re⁡(x))sinh⁡(2im⁡(x))4+cos⁡(re⁡(x))sinh⁡(im⁡(x))4)+sin⁡(re⁡(x))cosh⁡(im⁡(x))4+3cos⁡(2re⁡(x))cosh⁡(2im⁡(x))4i \left(- \frac{3 \sin{\left(2 \operatorname{re}{\left(x\right)} \right)} \sinh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} + \frac{\cos{\left(\operatorname{re}{\left(x\right)} \right)} \sinh{\left(\operatorname{im}{\left(x\right)} \right)}}{4}\right) + \frac{\sin{\left(\operatorname{re}{\left(x\right)} \right)} \cosh{\left(\operatorname{im}{\left(x\right)} \right)}}{4} + \frac{3 \cos{\left(2 \operatorname{re}{\left(x\right)} \right)} \cosh{\left(2 \operatorname{im}{\left(x\right)} \right)}}{4} 
i*(-3*sin(2*re(x))*sinh(2*im(x))/4 + cos(re(x))*sinh(im(x))/4) + cosh(im(x))*sin(re(x))/4 + 3*cos(2*re(x))*cosh(2*im(x))/4
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