Respuestas - Sección 3.4

Aquí encontrarás las respuestas a todos los ejercicios de la sección 3.4

  1. $\hspace{0.5cm}y_2=-e^{-x}$

$\hspace{0.3cm}y=c_1xe^{-x}+c_2e^{-x}$

  1. $\hspace{0.5cm}y_2=\dfrac{1}{4}sen{4x}$

$\hspace{0.3cm}y=c_1cos{4x}+c_2sen{4x}$

  1. $\hspace{0.5cm}y_2=-\dfrac{6}{5}e^{-\frac{x}{2}}$

$\hspace{0.3cm}y=c_1e^{\frac{x}{3}}+c_2e^{-\frac{x}{2}}$

  1. $\hspace{0.5cm}y_2=xe^{2x}$

$\hspace{0.3cm}y=c_1=e^{2x}+c_2xe^{2x}$

  1. $\hspace{0.5cm}y_2=-1$

$\hspace{0.3cm}y=c_1\ln \left| x\right|+c_2$

  1. $\hspace{0.5cm}y_2=-x^{\frac{1}{2}}$

$\hspace{0.3cm}y=c_1x^{\frac{1}{2}}\ln \left| x\right|+c_2x^{\frac{1}{2}}$

  1. $\hspace{0.5cm}y_2=-xcos(\ln \left| x\right|)$

$\hspace{0.3cm}y=c_1xsen(\ln \left| x\right|)+c_2xcos(\ln \left| x\right|)$

  1. $\hspace{0.5cm}y_2=5sen \left( \dfrac {1}{5}\ln \left| x\right| \right)$

$\hspace{0.2cm}y=c_1cos \left( \dfrac {1}{5}\ln \left| x\right| \right)+c_2sen \left( \dfrac {1}{5}\ln \left| x\right| \right)$

  1. $\hspace{0.5cm}y_2=x^2sen(\ln \left| x\right|)$

$\hspace{0.2cm}y=c_1x^2cos(\ln \left| x\right|)+c_2x^2sen(\ln \left| x\right|)$

  1. $\hspace{0.5cm}y_2=x^4sen(5\ln \left| x\right|)$

$\hspace{0.2cm}y=c_1x^4cos(5\ln \left| x\right|)+c_2x^4sen(5\ln \left| x\right|)$