Answer Happy

Can you help me with number 10. Thank you so much.
In Problems 1-14, solve the given initial value problem using the method of Laplace transforms. 1. y" - 2y' + 5y = 0; y(0) = 2, y'(0) = 4 = 2. y" - y' - 2y = 0; y(0) = -2, y'(0) = 5 3. y" + 6y' +9y = 0; y(0) = -1, y'(0) = 6 4. y" + 6y' + 5y = 12e'; y(0) = -1, = y'(0) = 7 5. w" + w = 12 + 2; w(0) = 1, = w'(0) = -1 = 6. y" - 4y' + 5y = 4e31 ; = y(0) = 2, y'(0) = 7 7. y" - 7y' +10y = 9 cost + 7 sint; y(0) = 5, y'(0) = -4 8. y + 4y = 412 - 41 + 10; y(0) = 0, y'(0) = 3 9. 2" + 5z' - 6z = 21e-1 ; z(1) = -1, z'(1) = 9 10.) y" -- 4y = 4t - 8e-21, y(0) = 0, y'(0) = 5