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Math Help - 2nd Order, Homog., Reduction of Order

  1. #1
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    2nd Order, Homog., Reduction of Order

    Hey guys! I was assigned some work this weekend in my Applied Math I class where we are doing DEs.

    This question is a two part problem. I understand how to do the second part, but I'm getting stuck on the first part.

    The question is...

    (x^2)(y'') + (x)(y') - (y) = 0

    Here is an image of my work.... I was wondering if I can get some guidance, see where/if I'm going wrong. Under the dotted line is to check my work, but I can't get it to equal zero...

    Last edited by mr fantastic; November 27th 2011 at 10:21 AM. Reason: Title.
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  2. #2
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    Re: Looking for help (2nd Order, Homog., Reduction of Order)

    I believe that the derivative of \frac{d}{dx} \left(\frac{1}{x}\right) is - \frac{1}{x^2} and of \frac{d}{dx} \left(\frac{1}{x^2}\right) = -\frac{2}{x^3}.
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