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Re: Power series solution to differential equations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41562] Re: Power series solution to differential equations
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 27 May 2003 01:47:23 -0400 (EDT)
  • Organization: Universitaet Leipzig
  • References: <basnpa$kpe$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

something like

http://library.wolfram.com/infocenter/MathSource/692/

?

Regards
  Jens

"Dr. Wolfgang Hintze" wrote:
> 
> Given a differential equation of the form
> 
> diffeq = a[x] u''[x] + b[x] u'[x] + f[x, u[x]] == 0
> 
> where ' means d/dx we assume that u[x] has a power series expansion
> about x0 of the form (t = x-x0)
> 
> u[t] = Sum[ c[k] t^(k+z) , {k, 0, Infinity }]
> 
> We have to determine z and the coefficients c[k].
> 
> Question: what is the best way to tackle this problem in Mathematica?
> 
> Any hint is greatly appreciated.
> 
> Wolfgang


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