Solve the system

$\displaystyle \frac{dx}{dt} =$
 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ 5 -4 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$ 4 5
$x$

with $x(0) =$
 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$ 6 $\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$ 8
.

Give your solution in real form.
$x_1 =$ ,
$x_2 =$ .

[Note-- you may want to view a phase plane plot (right click to open in a new window).]

1. Describe the trajectory.

1. What kind of interaction do we observe?

Your overall score for this problem is