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Thread: solving ODE with series

  1. March 14th 2012, 01:17 PM #1
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    solving ODE with series

    How can we solve this ODE with series

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  2. March 14th 2012, 05:04 PM #2
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    Re: solving ODE with series

    Start by writing \displaystyle \begin{align*} y = \sum_{n = 0}^{\infty}a_nx^n \end{align*} and substituting into the series. What could we then write \displaystyle \begin{align*} y' \end{align*} and \displaystyle \begin{align*} y'' \end{align*} as? Can you substitute these into the ODE and simplify?
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