1. Solve the differential equation using the Laplace Transform. y" + y = V2 sin(V2t), y(0)...
Solve the following differential equation using Laplace transform b'' + 4b = sin a b(0) = 0 b'(0) = 1
Solve the differential equation using laplace transform: Y" – 7y' = 6e31 – 3e? y(0) = 1, y'(O) = (-1)
3. Using Laplace transform, solve the differential equation y" +2y' +y=te* given that y(0) = 1, y'(0)= -2.
6 (5) Solve the differential equation using a Laplace Transform: y 3y' +2y t y(0) 0, y'(0) 2
Q4. Laplace Transforms a) (20 points) Solve the differential equation using Laplace transform methods y" + 2y + y = t; with initial conditions y(0) = y(O) = 0 |(s+2) e-*) b) (10 points) Determine L-1 s? +S +1
Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin it, y(0) = 13, y'(0) = 0 y(t) =
1. Use the Laplace transform to convert the following differential equation into s-space and then solve for Y(s): 1/(t) + 14y(t) = sin(34) + cos(5t). 2. Use the Laplace transform to convert the following differential equation into 8-space and then solve for Y(): y") + 3y(t) = (2)
1. Use the Laplace transform to convert the following differential equation into s-space and then solve for Y(s): vy(t) +14y(t) = sin(3) + cos(54) (1) 2. Use the Laplace transform to convert the following differential equation into s-space and then solve for Y(s): "(t) + 3y(t) = 2)
Use Laplace Transform to solve the following Differential Equations a) y - 2 sin(5t) = y, y(0) = 0
differential equation with Solve the following given initial conditions using the Laplace transform. y" +Sy't by : 4 (t-1)-8(+-2) y 10) = -2 y 10) =5 and