Solve the initial value problem below using the method of Laplace transforms. y" + 2y' - 15y = 0, y(0) = 3, y'(0) = 33 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. What is the Laplace transform Y(s) of the solution y(t)? 3(s + 13) Y(S) = (s - 3)(s + 5) Solve the initial value problem. y(t) = (Type an exact answer in terms of e. )Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" - 10y' + 25y = cos 6t - sin 6t, y(0) = 3, y'(0) = 4 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Y(S) =