Chapter 3.4, Problem 8P

In each of Problems $7$ through $10$, find the solution of the given initial value problem. Draw component plots of the solution and describe the behaviour of the solutions as $t\to \infty$.

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

See Problem $3$.

Problem $3$ :

General Solutions of Systems. In each of Problems $1$ through $6$, find the generalsolution of the given system of equations in terms of real – valued functions. Also draw a direction field and phase portrait. Describe the behaviour of the solutions as $t\to \infty$.

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