That's what I was thinking but I was wondering if there was another way of transforming it at all? Seems to simple of an answer for this specific lecturer who wrote the question.
I've been given this:
x''+ x = 4δ(t-2π)
The question asks:
With initial conditions of x(0) = 1 and x'(0) = 0, find x(t) using Laplace transforms.
I can easily get it to this:
4(sin(t-2π)u(t-2π))
But the question says "express your final solution without use of the unit step function". This is...