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When a nonlinear capacitor is present in an LRC-circuit, the voltage drop is no longer given by q/C but is more accurately described by αq + βq3, where α and β are constants and α > 0. Differential equation (34) of Section 5.1 for the free circuit is then replaced by
Find and classify all critical points of this nonlinear differential equation. [Hint: Divide into the two cases β > 0 and β < 0.]
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Chapter 10 Solutions
Differential Equations with Boundary-Value Problems (MindTap Course List)
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