### Solving a Laplace Transform Problem

Solve the following DE using Laplace Transform. Be sure to show your steps and reference the Laplace Transform you will be using. {i.e. - e^at sin bt; b/((s-a)^2 + b^2) (s > a) } (d^2y)/(dt^2) + 2(dy/dt) + 2y = x(t) where x(t) = { 1, 0 < = t < = 1 x(t) = { 2, t > = 2 x(t) = { 0, elsewhere and y(0) = 0;