Chapter 2, Problem 5P

a.

To determine

Solve the differential equation $\frac{d^{2}x}{d{t}^2}+2\frac{dx}{dt}+2x=\sin 2t$ using Laplace transform.

b.

To determine

Solve the differential equation $\frac{d^{2}x}{d{t}^2}+2\frac{dx}{dt}+x=5e^{-2t}+t$ using Laplace transform.

c.

To determine

Solve the differential equation $\frac{d^{2}x}{d{t}^2}+4x=t^2$ using Laplace transform.