Multiple-scale analysis: Difference between revisions

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:<math>
\begin{aligneqnarray}
\frac{dy}{dt}
&= \left( \frac{\partial Y_0}{\partial t} + \frac{dt_1}{dt} \frac{\partial Y_0}{\partial t_1} \right)
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+ \varepsilon \left( \frac{\partial Y_0}{\partial t_1} + \frac{\partial Y_1}{\partial t} \right)
+ \mathcal{O}(\varepsilon^2),
\end{aligneqnarray}
</math>