Chapter 4.5, Problem 30P

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.

$y\text{'}\text{'}+2y\text{'}+5y=3t{e}^{-t}\cos 2t-2t{e}^{-2t}\cos t$