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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: [mg18331] Re: [mg18301] Re: O.D.E in Power Series
  • From: "Atul Sharma" <mdsa at musica.mcgill.ca>
  • Date: Sun, 27 Jun 1999 15:11:21 -0400
  • References: <7l3mga$gc2@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Yes, the package adds routines for both analytic and numeric solution of
diff equations, You can get details from the authors site, which also (I
believe) has the package available.

A. Sharma

Attico Nicola wrote in message <7l3mga$gc2 at smc.vnet.net>...
>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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