Chapter 8.2, Problem 19E

1. (a) Use computer software to obtain the phase portrait of the system in Problem 5. If possible, include arrowheads as in Figure 8.2.2. Also include four half-lines in your phase rportrait.
2. (b) Obtain the Cartesian equations of each of the four half-lines in part (a).
3. (c) Draw the eigenvectors on your phase portrait of the system.

5. X′ = $\left(\begin{array}{cc}10& -5\\ 8& -12\end{array}\right)$ X