Use the LindstedtPoincar technique to obtain a one-term uniform expansion for the ODE d2x dt2 + x

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Use the Lindstedt–Poincaré technique to obtain a one-term uniform expansion for the ODE d2x dt2 + x = ǫx



1 −

dx dt 2



, with initial conditions x(0) = a and ˙ x(0) = 0.

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