Chapter 6.6, Problem 2P

In each of Problems 2 through 9, find the general solution of the given system. Calculations are greatly facilitated by using a computer algebra system.

$x\text{'}=\left(\begin{array}{cc}2& -1\\ 3& -2\end{array}\right)x+\left(\begin{array}{c}{e}^t\\ t\end{array}\right)$