Deduce a two term approximation to the minimum value

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Reference no: EM131383041

Unsymmetrical oscillations A non-linear oscillator satisfies the equation

x^·· + x + ?x² = 0,

where ? is a small parameter. Explain why the oscillations are unsymmetrical about x = 0 in this problem.

Use Linstedt's method to obtain a two-term approximation to x(t) for the oscillation in which the maximum value of x is unity. Deduce a two-term approximation to the minimum value achieved by x(t) in this oscillation.

Reference no: EM131383041

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