Here is the question:

y'' + 64y = {P

P =

2t, 0<=t<2

0, t>=2

y'(0) = 0

y(0) = 0

Find the equation you get by taking the Laplace transform of the differential equation and solve for

Y(s) = ?

Please help!!

I tried and got this as answer but it's wrong...

2/(s^2(s^2+64))