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Math Help - recursion relation, please help

  1. #1
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    recursion relation, please help

    find recursion relation for coefficients in the series solution of xy''+(1-x)y'+2y=0
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  2. #2
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    Re: recursion relation, please help

    You need to show some work. Let y=\sum_{k=0}^\infty a_kx^k. Write y', y'', xy', xy'' as \sum_{k=k_0}^\infty b_kx^k where k_0=0 or k_0=1 and b_k is an expression of k and a_i's for some i. The idea is to have the kth term of each series to be some coefficient times x^{k} (and not, say, x^{k+1} or x^{k-1}). Then write the original equation in terms of series and see what equations on a_k you get for k = 0 and for k > 0.

    Feel free to post intermediate results for checking.
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