When a nonlinear capacitor is present in an L R C-series circuit, the voltage drop is no longer given by q / C but is more accurately described by αq+βq^3, where αand βare constants and α>0. Differential equation (34) of Section 3.8 for the free circuit is then replaced by L (d^2 q)/(d t^2)+R (d q)/(d t)+αq+βq^3=0 Find and classify all critical points of this nonlinear differential equation. | Numerade
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