Solve the following IVPs using Laplace Transform: 1) dy dt 3y(t) = e4t; y(0) = 0
solve the following using laplace transform dy dt 3y(t) = e4t; y(0) = 0
Solve the following IVPs using Laplace Transform: 2) y" + 4y' + 3y = 3 ezt; y(0) = y'(0) = 0
Use the Laplace transform to solve the given initial-value problem.y' + 3y = e4t, y(0) = 2y(t) =
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 dy cost + So y(t) cos(t – t)dt, y(0) = 1 dt
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: 3) y" + 4y' + 4y = t4e-2t; y(0) = 1, y'(0) = 2
2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1 2. Using Laplace transform, solve the system of differential equations d.x: dy dt where x(0)1
7. Use the Laplace transform to solve the system dx dt -x + y dy = 2x dt x(0) = 0, y(0) = 1
6 (5) Solve the differential equation using a Laplace Transform: y 3y' +2y t y(0) 0, y'(0) 2