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Math Help - second order linear differential equation

  1. #1
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    second order linear differential equation

    is there any closed form solution of the following differential equation?

    x^2 y''(x) + K x y'(x) - L x y(x) = - M x^N

    i have found a solution from wolfram alpha ............ but i think the solution should be little bit easier..........

    and what will be the change in the solution if i modify the equation to:

    x^2 y''(x) + K x y'(x) - L x y(x) = - sum (M x^N)


    many many thanks in advance...........
    Last edited by thebeginning; March 26th 2012 at 04:03 PM.
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