Laplace transform to solve the given

Question

Use the Laplace transform to solve the given IVP.

y"+y=e^-tcos(2t); y(0)=2, y'(0)=1 The final answer has to be

y(t)=1/10e^-t(13e^tsint-cos2t+(21e^t-4sint)cost)

but I got y(t)=-1/10e^-tcos2t-1/5e^-tsin2t+21/10cost+13/10sint

Can someone check if my answer is right and if I can manipulate it to match the other answer or show me how to do it all together.