Solved: (Trajectories) In Prob. 14 add a linear damping
Chapter 4, Problem 4.1.72(choose chapter or problem)
In Prob. 14 add a linear damping term to get \(y^{\prime \prime}+2 y^{\prime}-4 y+y^{3}=0\). Using arguments from mechanics and a 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.)
Text Transcription:
y” + 2y’ - 4y + y^3 = 0
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