Chapter 4.5, Problem 29P

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.

$y\text{'}\text{'}+3y\text{'}+2y=e^t\left(t^2+1\right)\sin 2t+3e^{-t}\cos t+4e^t$