Pregunta: Solve the given initial-value problem. y''' + 10y'' + 25y' = 0, y(0) = 0, y'(0) = 1, y''(0) = −8

Given that the differential equation, $\mathrm{y}{}^{‴}+10\mathrm{y}{}^{″}+25{\mathrm{y}}^{\prime }=0,\mathrm{y}\left(0\right)=0,{\mathrm{y}}^{\prime }\left(0\right)=1,\mathrm{y}{}^{″}\left(0\right)=-8$. The objective is to solve the given initial value problem.