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Math Help - help Second-order linear ordinary differential equation

  1. #1
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    Question help Second-order linear ordinary differential equation

    find the second solution that is linearly independent to the solution given for

    (1-x cot x)y'' - xy' +y = 0


    y1(x) = x

    0<x<pi

    hint : integration of (x/(1-x cot x)) dx = ln |x cos x - sin x|

    i've tried to rearrage the equation in the form :















    but how can i get y2(x) = function of x????

    i get stack here... pls help me.....
    Last edited by bobey; March 8th 2010 at 01:04 AM.
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  2. #2
    MHF Contributor chisigma's Avatar
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    A general method to find, once you know a particular solution of a second order linear 'incomplete' DE, a second solution independent from it is illustrated here...

    http://www.mathhelpforum.com/math-he...tion-case.html

    Kind regards

    \chi \sigma
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