how to get this Answer?

plz explain how to get this answer.

Solve the ODE using Laplace transform g + 2 + 2y = ht), ' () = y(0) = 1, y'(0) = -5 - = 10e-38 Here L{h(t)} $2 +4 Answer: y(t) = (cost 4 sin t)e-t + [cos 2(t 3) + sin 2(t 3) e-t+3 cos(t 3) 2e-t+3 sin(t 3)]u(t 3) - t =