da 3.2x + 0.75y, dt dy 1.66667x + 1.2y. dt For this system, the smaller eigenvalue is and the larger eigenvalue is [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? O All of the solutions curves would converge towards 0. (Stable node) O All of the solution curves would run away from 0. (Unstable node) O The solution curves would race towards zero and then veer away towards infinity. (Saddle) O The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 8, y(0) = 7 is ¤(t) y(t)

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