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In the last homework, you analyzed the equation ˙x = cx − x 3 graphically, for c positive, zero and negative. Now perform a formal linear stability analysis, and compare your results with a graphical analysis

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Please find attached file for complete answer solution and explanation of same question.

Explanation:

In the last homework, you analyzed the equation ˙x = cx − x 3 graphically, for c positive-example-1
In the last homework, you analyzed the equation ˙x = cx − x 3 graphically, for c positive-example-2
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