Pregunta: Find y as a function of x if y(4)−10y′′′+25y′′=−196e^−2x, y(0)=2, y′(0)=3, y′′(0)=21, y′′′(0)=8. y(x)=

Given$,$equation is

${\mathrm{y}}^4-10\mathrm{y}{}^{‴}+25\mathrm{y}{}^{″}=-196{\mathrm{e}}^{-2\mathrm{x}}$ with $\mathrm{y}\left(0\right)=2,{\mathrm{y}}^{\prime }\left(0\right)=3,$ $\mathrm{y}{}^{″}\left(0\right)=21,$ $\mathrm{y}{}^{‴}\left(0\right)=8.$

We have to find the value of $\mathrm{y}$ as a function of $\mathrm{x}.$