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Re: Can this ODE be solved?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg15496] Re: Can this ODE be solved?
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Mon, 18 Jan 1999 04:22:42 -0500
  • Organization: University of Western Australia
  • References: <77f03h$lst@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Harry Kiesel wrote:

> Mathematica 3.0 returned the following ODE unsolved. I beleive the
> solution involves special functions.
> 
> Is there a way of sloving this type of equation with Mathematica.
> 
> The equation is
> 
>    (t-t^3/4)*D[G[t],t,t]+(t^2/4+2*x*t)*D[G[t],t]+(x+t/4)*G[t]==0.

I have not managed to solve this differential equation in terms of
special functions.  However, some comments about the solution can be
found in the following Notebook:

  ftp://ftp.physics.uwa.edu.au/pub/Mathematica/MathGroup/RiemannDE.nb

Cheers,
	Paul

____________________________________________________________________ 
Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
The University of Western Australia            Nedlands WA  6907       
mailto:paul at physics.uwa.edu.au  AUSTRALIA                       
http://www.physics.uwa.edu.au/~paul

            God IS a weakly left-handed dice player
____________________________________________________________________


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