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Math Help - series solution!

  1. #1
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    series solution!

     y''(x)+\frac{x^2+x}{x^2}y'(x)-x^{-2}y=0

    pls folks, the problem above i have attempted and got the indicial equation as c=1 or -1 and the following series while holding c=1;

     -\frac{2a}{(2+1)!}+\frac{2a}{(6+2)!}-\frac{2a}{(24+3)!}..........

    what would this be in closed form? pls correct me if i made any mistake. thanks!
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  2. #2
    Super Member girdav's Avatar
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    Re: series solution!

    Did you just compute the first coefficients, or you get a reccurrence relation? (we can get the latter multiplying first the equation by x^2)
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  3. #3
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    Re: series solution!

    just the first coefficient to obtain that relation. what to know if am on course?
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