Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to solve Differential equation

  1. Oct 19, 2007 #1
    Hello!
    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
    Malmstén?
     
  4. Oct 19, 2007 #3
    ANSAT:

    [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.

    tks

    gio
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How to solve Differential equation
  1. How to solve this DE? (Replies: 3)

Loading...