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