Solve the following equation to order (varepsilon^{2}), [ ddot{x}+x=varepsilon x^{2}, varepsilon < <1 ] where (x(0)=A_{0}), and

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Solve the following equation to order \(\varepsilon^{2}\),

\[
\ddot{x}+x=\varepsilon x^{2}, \varepsilon<<1
\]

where \(x(0)=A_{0}\), and \(\dot{x}(0)=0\).

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Related Book For  book-img-for-question

Mechanical Vibration Analysis, Uncertainties, And Control

ISBN: 9781498753012

4th Edition

Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han

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