Take the Laplace transform of the following initial value problem and solve for Y(s) = [ty() }: V /' - 7y - 8y y(0) = 0, y (0) - 0 Y (s) = Now find the inverse transform: y(t) = (Notation: write u(t-c) for the Heaviside step function u. (t ) with step at t = Note: s(s - 8) (s + 1)