Chapter 4.5, Problem 23P

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.

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