



solve the following using laplace transform y" + 4y + 4y = t4e-2t; y(0) = 1,...
Solve the following IVPs using Laplace Transform: 3) y" + 4y' + 4y = t4e-2t; y(0) = 1, y'(0) = 2
Use the Laplace transform to solve the initial value problem: y' + 4y = cos(2t), y(0) = 0, y'(0 = 1.
5. Use the Laplace transform to solve the problem 2t y" + 3y' – 4y e2, = y(0) = 0, y'(0) = 0.
Solve using Laplace transform: y"-4y'=5e^x, y(0)=0, y'(0)=1
Solve the following IVPs using Laplace Transform: 2) y" + 4y' + 3y = 3 ezt; y(0) = y'(0) = 0
Solve using Laplace Transforms please show detailed steps if
possible
y', _ 4y-51+sin(2t), y(0)-1, y'(0)--1.
Use the Laplace Transform to solve the following IVP y' + 4y = t2 , y(0) = 0
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.
10. Solve the initial value problem using Laplace transform ( 14 points) y" + 4y = 2 sin(3t) with y(0) = 1 and y'(0) = 1
Given the differential equation y" – 4y' + 3y = - 2 sin(2t), y(0) = -1, y'(0) = 2 Apply the Laplace Transform and solve for Y(8) = L{y} Y(S) -