Use the Laplace transform to solve the given initial value problem.
y"+[w^(2)]y=cos2t, w^(2) does not equal 4; y(0)=1, y'(0)=0
I tried doing the problem, and I got up to Y(s)=[(s^(3)+5s]/[s^(2)+w^(2)],
which hopefully is correct. Now I'm having trouble using the Laplace
transforms to...