Question

8)

Use the Laplace transform to solve the given initial-value problem.

y' − y = 2 cos(4t),  y(0) = 0

y(t)=???

9)

Use the Laplace transform to solve the given initial-value problem.

y'' − 5y' = 8e^4t − 4e^−t,    y(0) = 1, y'(0) = −1

y(t)=?

10)

Use the Laplace transform to solve the given initial-value problem.

y''' + 2y'' − y' − 2y = sin(4t),  y(0) = 0,  y'(0) = 0,  y''(0) = 1

y(t)=?

Answer 1