Consider the system of differential equations For this system the smaller eigenvalue is 3 68 dx dt dy dt 1 6x 0 5y 2 5x3 6y and

Question

Consider the system of differential equations For this system the smaller eigenvalue is 3 68 dx dt dy dt 1 6x 0 5y 2 5x3 6y 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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