Solve the following equation by applying the Laplace transform: a) y"(t) + 4y(t) = 9t when y(0) = 0, y'(0) = 7
(8a) Solve the ODE y" - 3y' = 4y (86) Solve the ODE y" - 3y' = 4y + 3 (9a) Solve the ODE" = - 4y (9b) Solve the ODE y" = -4y - 8x
Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8 Solve the initial-value problem. a) y', _ y'-12y = 0, y(0) = 3, y'(0) = 5 b) y"-4y'+3y 9x2 +4, y(0)-6, y(0) 8
Solve the following initial-value problem. y" + 3y + 4y = 282(t) - 385(t) y(0) = 1, y'(0) = -2
Solve the initial value problem using the method of the laplace transform. y"-4y'+3y=e^t,y(0)=0,y'(0)=5
Solve the following IVPs using Laplace Transform: 2) y" + 4y' + 3y = 3 ezt; y(0) = y'(0) = 0
15. (8 points) Solve the initial value problem y" + 4y' + 3y-хез®, y(0) 1, y'(0) 0
Solve the difference equationy(n + 2) + 4y(n + 1) +3y(n) = 3n with y(0) =0, y(1) = 1
5. Use the Laplace transform to solve the problem 2t y" + 3y' – 4y e2, = y(0) = 0, y'(0) = 0.
(10 pts) Solve the initial value problem by Laplace transform: y" – 4y + 3y = ezt, y(0) = 0, y'(0) = 0.