5) Consider the system of differential equations For this system, the smaller eigenvalue is da dt dy dt 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) OThe 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 (0) = 3, y(0) = 7 is r(t) = y(t) = -1.4x +0.75y, 11 1.66667-3.4y.

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