Find also the corresponding two term approximation

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Reference no: EM131383062

A non-linear oscillator satisfies the equation

(1 + ∈x²)x^·· + x = 0

where ∈ is a small parameter. Use Linstedt's method to obtain a two-term approximation to the oscillation frequency when the oscillation has unit amplitude. Find also the corresponding two-term approximation to x(t).

[You will need the identity 4 cos³s = 3 coss + cos 3s.]

Reference no: EM131383062

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