(1 point) Consider the system of differential equations dx 2.8x + 0.75y, dt dy dt 1.66667x + 0.8y. and the larger eigenv

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1 Point Consider The System Of Differential Equations Dx 2 8x 0 75y Dt Dy Dt 1 66667x 0 8y And The Larger Eigenv 1 (149.29 KiB) Viewed 56 times

(1 point) Consider the system of differential equations dx 2.8x + 0.75y, dt dy dt 1.66667x + 0.8y. and the larger eigenvalue is For this system, the smaller eigenvalue is (3.6-sqrt(9.00001))/2 (3.6+sqrt(9.00001))/2 [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? All of the solutions curves would converge towards 0. (Stable node) All of the solution curves would run away from 0. (Unstable node) The solution curves would race towards zero and then veer away towards infinity. (Saddle) The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 9, y(0) = 7 is x(t) yt) = =