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MathGroup Archive 1998

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Re: Re: ODE

  • To: mathgroup at
  • Subject: [mg14529] Re: [mg14501] Re: [mg14443] ODE
  • From: "Jens-Peer Kuska" <kuska at>
  • Date: Thu, 29 Oct 1998 04:33:26 -0500
  • Sender: owner-wri-mathgroup at

Hi Alessandro,

a) you can use the build in functions with


    deqn /.Thread[{#,D[#,x],D[#,x,x]} & /@ (


you get the coefficients of the power series solution at x=0 as
of C[0]=y[0] and C[1]=y'[1]. It is so simple that no package is

b) dealing with infinite series need a large amount of programming. For
    series solutions of *linear* look to the SpecialFunctions.m Package
from Wolfram Koepf, Axel Rennoch, Gregor Stoelting 1992, 1993
    Wolfram Koepf 1994, 1995, 1996. The package for linear deqn's is ca
270 kByte
   Mathematica code. For nonlinear equations no algorithm and/or package

Hope that helps

-----Original Message-----
From: Ing. Alessandro Toscano Dr. <toscano at> To:
mathgroup at
Subject: [mg14529] [mg14501] Re: [mg14443] ODE

I found that the ODE:

(A+B*x)*y(x) - y'(x)/y + y''(x)=

has an analytical, series solution near a regular singular point.

Is there any package or notebook which solves ODE in terms of the so
called series solutions?

If not, can you help me to perform the task of finding solutions of ODE
as an infinite series in powers of x?


Ing. Alessandro Toscano Dr.

Universite di Roma Tre
Dip. Ingegneria Elettronica
Via della Vasca Navale, 84
00146, Roma, ITALIA

Tel. +39-6-55177095
Fax  +39-6-5579078
e-mail: a.toscano at,
toscano at


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