Question

4. Use the Laplace transform to solve each initial value problem: y" + 5y' — 14y = 0 = (a) { } (b) y" + 6y' +9y y(0) = 0 & y (0) 1 & y'(0) = 0 = (c) y" + 2y' + 5y = 40 sin t y (0) = 2 & y'(0) = 1 }