Use the method of Laplace transforms to solve the given initial value problem. Here, x' and y' denote differentiation with respect to t. x' - 3x + 2y = sin t x(0) = 0 y(0) = 0 4x-y'-y = cost Click the icon to view information on Laplace transforms. x(t) = y(t) = (Type exact answers in terms of e.)