Chapter 4.5, Problem 26P

In each of problems 23 through 30:

Determine a suitable form for $Y(t)$ if the method of undetermined coefficients is to be used.

Use a computer algebra system to find a particular solution of the given equation.

$y\text{'}\text{'}+2y\text{'}+2y=3e^{-t}+2e^{-t}\cos t+4e^{-t}{t}^2\sin t$