Solve using Laplace transform:
y"-4y'=5e^x, y(0)=0, y'(0)=1
solve the following using laplace transform y" + 4y + 4y = t4e-2t; y(0) = 1, y'(0) = 2 +
Solve the following IVPs using Laplace Transform: 3) y" + 4y' + 4y = t4e-2t; y(0) = 1, y'(0) = 2
17. Use the Laplace transform to solve the initial value problem: y" + 4y' + 4y = 2e-, y(0) = 1, (O) = 3. 18. Use the Laplace transform to solve the initial value problem: 4y" – 4y + 5y = 4 sin(t) – 4 cos(1), y(0) = 0, y(0) = 11/17.
Solve the initial value problem using the method of the laplace transform. y"-4y'+3y=e^t,y(0)=0,y'(0)=5
Use the Laplace Transform to solve the following IVP y' + 4y = t2 , y(0) = 0
10. Solve the initial value problem using Laplace transform ( 14 points) y" + 4y = 2 sin(3t) with y(0) = 1 and y'(0) = 1
Solve the following IVPs using Laplace Transform: 2) y" + 4y' + 3y = 3 ezt; y(0) = y'(0) = 0
Using the Laplace transform, solve the initial value problem 8. y(0)-0. y" + 4y-sint-u2" sin(t-2r), y(0)-0,
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using elimination method, for x(s), and y(s). b. Apply inverse-Laplace transform (L:'T) to the system of s-functions, then solve for x(t), and y(t) 1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using...
Use the Laplace transform to solve the initial value problem: y' + 4y = cos(2t), y(0) = 0, y'(0 = 1.