Chapter 3.3, Problem 14P

In each of problems 13 through 16, solve the given initial value problem. Draw component plots of $x_1$ and $x_2$ versus $t$. Describe the behaviour of the solutions as $t\to \infty$.

$x\text{'}=\left(\begin{array}{cc}2& -1\\ 3& -2\end{array}\right)x,x\left(0\right)=\left(\begin{array}{c}2\\ 5\end{array}\right)$