Show that the nonlinear second-order differential equation (1 + a2x2)x' + (f3 +

Chapter 11, Problem 27

(choose chapter or problem)

Show that the nonlinear second-order differential equation (1 + a2x2)x' + (f3 + a2(x')2)x = 0 has a saddle point at (0, 0) when f3 < 0.

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