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MathGroup Archive 1999

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Re: Re: O.D.E in Power Series

  • To: mathgroup at smc.vnet.net
  • Subject: [mg18313] Re: [mg18301] Re: O.D.E in Power Series
  • From: Attico Nicola <nicola at Linuz.sns.it>
  • Date: Sat, 26 Jun 1999 19:07:56 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

On Fri, 25 Jun 1999, Atul Sharma wrote:

> You might want to check out the following site:
> 
> http://www.ma.umist.ac.uk/kd/ode/3x/ref/snuapp/node8.htm#SECTION001700000000
> 00000000
> 
> It is the entry on method SeriesForm for the package ODE.m, also available
> at the authors site. This excellent package accompanies the book
> Introduction to Ordinary Differential Equations by Gray, Mezzino and Pinsky,
> expanding the functionality of the built in DSolve command.
> 
> For example, I ran your question through it's ODE function, specifying a
> solution using Method->SeriesForm. The answer
> 
> In[14]:= ODE [y''[x]-2(x+3)y'[x]-3y[x]==0,y,x,Method->SeriesForm]
> 
> Out[14]:= y ->(1 + 3x^2/2 +3 x^3 +43 x^4/8 +39 x^5/5) C[1] + (x+3 x^2+41
> x^3/6+12 x^4 +699 x^5 /40) C[2]
> 

Your package ode.m improves alse funtionality
of DSolve in finding analitical solutions of
differential equations?
If no, you know if some package of this type
exists and where one can find it?

Thank you

Nicola

----
Nicola Attico
Universita' di Pisa
Dipartimento di Fisica
Piazza Torricelli,2
attico at peg2.difi.unipi.it



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