Obtain the first order approximated solution of a Duffing oscillator ü(t)+w²u(t) + εu³ = 0 0 < ε <<<1 u(0)= a, ú(0)=0 by

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Obtain the first order approximated solution of a Duffing oscillator ü(t)+w²u(t) + εu³ = 0 0 < ε <<<1 u(0)= a, ú(0)=0 by

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Obtain the first order approximated solution of a Duffing oscillator ü(t)+w²u(t) + εu³ = 0 0 < ε <<<1 u(0)= a, ú(0)=0 by using one of the three methods (L-P method, the average method, the method of multiple scales).
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