Pregunta: Using LAPlace solve y′′−2y′+y=et+ty′(0)=0y(0)=1

Solution;

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

Apply Laplace transform on both sides of given differential ...