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formula.tex
\documentclass[12pt]{article} \def\d{{\rm d\kern.1em}} \begin{document} \large \begin{eqnarray*}% x^{(1)} &=& \xi + \varepsilon F^{(1)}(t,\xi) \\ \frac{\d\xi}{\d t} &=& \varepsilon P^{(1)}(\xi) \end{eqnarray*} %------- \begin{eqnarray*} x^{(2)} &=& \xi + \varepsilon F^{(1)}(t,\xi) + \varepsilon^2 F^{(2)}(t,\xi) \\ \frac{\d\xi}{\d t} &=& \varepsilon P^{(1)}(\xi) + \varepsilon^2 P^{(2)}(\xi) \end{eqnarray*} %------- \begin{eqnarray*}% x^{(3)} &=& \xi + \varepsilon F^{(1)}(t,\xi) + \varepsilon^2 F^{(2)}(t,\xi) + \varepsilon^3 F^{(3)}(t,\xi) \\ \frac{\d\xi}{\d t} &=& \varepsilon P^{(1)}(\xi) + \varepsilon^2 P^{(2)}(\xi) + \varepsilon^3 P^{(3)}(\xi) \end{eqnarray*} %------- \begin{eqnarray*} x^{(m)} &=& \xi + \varepsilon F^{(1)}(t,\xi) + \varepsilon^2 F^{(2)}(t,\xi) + \dots + \varepsilon^m F^{(m)}(t,\xi) \\ \frac{\d\xi}{\d t} &=& \varepsilon P^{(1)}(\xi) + \varepsilon^2 P^{(2)}(\xi) + \dots +\varepsilon^m P^{(m)}(\xi) \end{eqnarray*} \end{document}
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