Question: In Prob 14 add a linear damping term to get y'' + 2y' 4y + y3 = 0, Using arguments from mechanics and comparison

In Prob 14 add a linear damping term to get y'' + 2y' – 4y + y3 = 0, Using arguments from mechanics and comparison with Prob. 14, as well as with Examples 1 and 2, guess the type of each critical point, Then determine these types by linearization, (Show all details of your work).

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The system is y y2 3 y 2y 4y y 2y 2 2 Hence the critical points are 0 ... View full answer

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