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Bessel solution to D.E

  1. Oct 23, 2009 #1
    1. The problem statement, all variables and given/known data
    u''-bc (x^m) u =0


    2. Relevant equations
    How can I write the general solution in terms of Bessel function?


    3. The attempt at a solution

    This form is a transformed vresion of y'+by^2=cx^m with dummy variable by=1/u *du/dx
     
    Last edited: Oct 24, 2009
  2. jcsd
  3. Oct 24, 2009 #2

    LCKurtz

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    I'm curious why you would go to the trouble of transforming your original DE when you can solve it directly. It's just a constant coefficient DE with a non-homogeneous polynomial term.
     
  4. Oct 24, 2009 #3
    it was y'+by^2=cx^m ,Iforgot to type the y squared power
     
  5. Oct 24, 2009 #4

    LCKurtz

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    Here is what Maple gives, for what it's worth:

    bessel.jpg
     
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