Use the Laplace transform to solve the given initial value problem y'' - 2y' + 2y = e^(-t) , y(0)=0 , y'(0)=1

Question. Use the Laplace transform to solve the given initial value problem 
y'' - 2y' + 2y = e^(-t) , y(0)=0 , y'(0)=1

Solution: