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How to solve Differential equation

  1. Oct 19, 2007 #1
    How to solve this diff eq?

    [tex]\ y'' + a[/tex][tex]\frac {y} {x} [/tex] [tex]\ +b[/tex][tex]\frac {y} {x^2} [/tex] [tex]\ = 0[/tex]
  2. jcsd
  3. Oct 19, 2007 #2
  4. Oct 19, 2007 #3

    [tex]y(x)=\sum_{n=0}^\infty a_n x^n[/tex]
  5. Oct 19, 2007 #4
    yes Frobenius series for fuchsian points....., but Malmstén found the solution in term of modified Bessel functions, it is quite better.
  6. Oct 19, 2007 #5
    Then you need to transform such equation to look like the modified Bessel equation.
  7. Oct 19, 2007 #6
    yes yes

    the transformations are in the Watson book

    the equation transform into a Bessel equation by using Malmstén transformations.
  8. Oct 21, 2007 #7
    Then what is the question?
  9. Oct 22, 2007 #8
    after asking how to solve that equation I found the solution.


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