Solve the given initial value problem by Laplace transforms. Show te details of your work.

y" - 2y' + 2y = 8e^(-t)(cos t) ; y(0) = 16; y'(0) = 16

I have some of the problem done, but I am not sure that I am doing it right. I am supposed to present this at 1pm tomorrow during class, so any help before then would be greatly appreciated.