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