Solved: (Trajectories) Write the ODE y" - 4y + )'3 = 0 as

Chapter 4, Problem 4.1.70

(choose chapter or problem)

Write the ODE \(y^{\prime \prime}-4 y+y^{3}=0\) as a system, solve it for \(y_{2}\) as a function of \(y_{1}\), and sketch or graph some of the trajectories in the phase plane.

Text Transcription:

y” - 4y + y^3 = 0

y_2

y_1

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