Solve the following IVPs using Laplace Transform: 3) y" + 4y' + 4y = t4e-2t; y(0)...
Solve the following IVPs using Laplace Transform: 2) y" + 4y' + 3y = 3 ezt; y(0) = y'(0) = 0
solve the following using laplace transform
y" + 4y + 4y = t4e-2t; y(0) = 1, y'(0) = 2 +
Solve the following IVPs using Laplace Transform: 4) y” + 3 y' + 2y = u(t – 4); y(0) = y'(0) = 0
Solve the following IVPs using Laplace Transform: 5) y” + y = (t – 2) uſt – 2); y(0) = y'(0) = 0
Use the Laplace transform to solve the initial value problem: y' + 4y = cos(2t), y(0) = 0, y'(0 = 1.
Solve the following IVPs using Laplace Transform: 1) dy dt 3y(t) = e4t; y(0) = 0
5. Use the Laplace transform to solve the problem 2t y" + 3y' – 4y e2, = y(0) = 0, y'(0) = 0.
problem 20
18-27 IVPs, SOME WITH DISCONTINUoUS INPUT Using the Laplace transform and showing the details, solve 18. 4y"-12y' + 9y-0, y(0)-2/3, y,(0) | 20. у', + IOv, + 24y 14412, y(0) 19/12. y (0)5 th Ze 22. y" +3y' + 2-4t İf 0 < t < 1 and 8 if t > 1; y(0) = 0, y'(0) = 0 23. y" + y,-2y-3 sin t-cos t, (0 < t < 2π), and 3 3 sin 2t - cos 2t,...
Solve using Laplace transform: y"-4y'=5e^x, y(0)=0, y'(0)=1
III. Solve each of the following IVPs using Laplace Transforms 1, y'+2y = 4-u2(t), y(0) = 1. 2、 y', _ y = 2t, y(0) = 0, y'(0) = a 3· y', _ y =-206(t-3), y(0) = 1, y'(0) = 0. 4· y', + 2y' + 2y = h(t), y(0) = 0,必))-1.