Chapter 4.5, Problem 27P

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.

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