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Consider the system of differential equations dar = 1.6x +0.5y, dt dy 33 = 2.5x-3.6y. dt For this system, the smaller eigenvalue is -3.68

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Consider the system of differential equations dar = 1.6x +0.5y, dt dy 33 = 2.5x-3.6y. dt For this system, the smaller eigenvalue is -3.68 and the larger eigenvalue is -1.52 [Note-- you may want to use the WolframAlpha widget (right click to open in a new window). Enter your functions and domain, and then click submit.] If y Ay is a differential equation, how would the solution curves behave? = A. The solution curves converge to different points. OB. All of the solution curves would run away from 0. (Unstable node) OC. The solution curves would race towards zero and then veer away towards infinity. (Saddle) OD. All of the solutions curves would converge towards 0. (Stable node) The solution to the above differential equation with initial values (0) = 7, y(0) = 3 is x(t) = y(t) =

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