Abstract
A method of solving certain differential equations governing forced and free oscillations is proposed. The nonlinear differential equation governing such oscillations is linearized with the help of the Gegenbauer polynomial approximation, and a one-term solution corresponding to the fundamental frequency is obtained. A correction term corresponding to the third harmonic is then found by applying the principle of least-squared error. The method is applied to the analysis of a series circuit containing a nonlinear capacitor.
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