Find the equilibrium solution for
$$x_1'(t) = -9.7 + 1.2x_1 - 0.5x_2$$
$$x_2'(t) = -9.8 + 1.4x_1 - 0.8x_2$$
$$x_1(0) = 20; \,\; x_2(0) = 34$$
Equilibrium: $x_1^e =$ , $x_2^e =$ .

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

If $y' = Ay$ is a differential equation, how would the solution curves behave?

A. The solution curves converge to different points.
B. All of the solution curves would run away from the equilibrium point. (Unstable node)
C. All of the solutions curves would converge towards the equilibrium point. (Stable node)
D. The solution curves would race towards the equilibrium point and then veer away towards infinity. (Saddle)

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