Using only Laplace transforms, solve the following Samuelson model given below, i.e. the second-order difference equation (where Yt is national income):Yt 2 Syt 1 6yt = 4t, if Yt = 0 for t < 0, and Yo = 0, Y1 = 1L^-1 (1 - e^-s) = f(t) = rn for n < t < n 1.