Given the differential equation y' – 4y = 9e8t – 3e == – 7t > y(0) = 0, y'(0) = = = – 1 Apply the Laplace Transform and solve for Y(s) = L{y} = Y(s) - = Now solve the IVP by using the inverse Laplace Transform y(t) = L-'{Y(s)} y(t) =