Pregunta: Solve y” - 2y’ + y = tet + 4, y(0)=1,y’(0)=1

The answer provided below has been developed in a clear step-by-step manner.

Given that,

$\mathrm{y}{}^{″}-2{\mathrm{y}}^{\prime }+\mathrm{y}=\mathrm{t}{\mathrm{e}}^{\mathrm{t}}+4,\mathrm{y}\left(0\right)=1,{\mathrm{y}}^{\prime }\left(0\right)=1$