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Math Help - Finding differential equation from power series

  1. #1
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    Finding differential equation from power series

    I have a power series solution to a differential equation and i am trying to find the differential equation that generated it. i guess you would just have to spot it as i can't think of a way of working backwards to the DE?

    the series is

    y(x)= A + B/X^2 + C/X^4 ....

    If it helps that equation is equivalent to Cauchy's equation for refraction of light of varying wavelengths
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  2. #2
    MHF Contributor chisigma's Avatar
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    Is it possible to have some more details?... for example the degree of the [unknown] DE or if it is or not a linear DE?...

    Kind regards

    \chi \sigma
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