Obtain a two term approximation to the oscillation frequency

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Reference no: EM131383049

A non-linear oscillator satisfies the equation

x^·· + x + ∈x⁵ = 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. [You will need the identity 16 cos⁵ s = 10 coss + 5 cos³s + cos⁵s.]

Reference no: EM131383049

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