Chapter 4.5, Problem 25P

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.

$y\text{'}\text{'}-5y\text{'}+6y=e^t\cos 2t+e^{2t}\left(3t+4\right)\sin t$