Solve the IVPs by the Laplace transform. If necessary, use partial fraction expansion as in Example 4 of the text: Show all details. 1. Y’ + 5. 2y = 19. 4 sin 2t, y(0) = 0 2. Y’ + 2y = 0, y(0) = 1. 5 3. Y" – y’ + 6y = 0, y(0) = 11, y’(0) = 28 4. Y" + 9y = I0e^(-t) y(0) = 0, Y’(0) = 0 5. Y" – 1/4y = 0, y(0) = 12, Y’(0) = 0 6. Y" - 6y’ + 5y = 29 cos 2t, y(0) 3. 2 Y’(0) = 6. 2 7. Y" + 7y' + 12y = 21e^3t, y(0) 3. 5 y’(0) = -10 8. Y" - 4y' + 4y = 0, y(0) 8. 1, y’(0) = 3. 9 9. Y" - 4y' + 3y = 6t - 8, y(0) = 0, y’(0) = 0 10. Y" + 0. 04y = 0. 02t^2 y(0)=-25, y’(0)=0