Pregunta: Solve the given initial-value problem. y''' + 3y'' − 13y' − 15y = 0, y(0) = y'(0) = 0, y''(0) = 1

A third-order differential equation is given as:

$\mathrm{y}{}^{‴}+3\mathrm{y}{}^{″}-13{\mathrm{y}}^{\prime }-15\mathrm{y}=0$

with the initial conditions : $\mathrm{y}\left(0\right)={\mathrm{y}}^{\prime }\left(0\right)=0$ and $\mathrm{y}{}^{″}\left(0\right)=1$ .