Pregunta: (40 points) Solve the initial value problem y′′+4xy′−16y=0,y(0)=8,y′(0)=0. y

Given initial value problem $\mathrm{y}{}^{″}+4\mathrm{x}{\mathrm{y}}^{\prime }-15\mathrm{y}=0$ .....(1)

Given initial conditions $\mathrm{y}\left(0\right)=8\text{and}{\mathrm{y}}^{\prime }\left(0\right)=0$

Now to find the power series series so...