In 15–24, solve for y(s), the Laplace transform of the solution y(t) to the given initial value problem.

Solution :Given equation is y” -6y’ +5y =tet …………………………………..(1)Initial conditions are y(0)=2 and y’(0)=-1Step 1 : When L(Laplace transform) is applied to both sides of (1) we getL[ y” - 6y’ + 5y] =L[tet ] -> L[ y”] - 6 L[y’] +5 L[y] =L[tet ]