Chapter 5.4, Problem 20P

In each of Problems $20$ through $24$, use a computer algebra system to assist in solving the given initial value problem by the method of Laplace transforms:

$y\text{'}=\left(\begin{array}{cc}-4& -1\\ 1& -2\end{array}\right)y+\left(\begin{array}{c}2e^t\\ \sin 2t\end{array}\right),y\left(0\right)=\left(\begin{array}{c}1\\ 2\end{array}\right)$.