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Re: O.D.E in Power Series

  • To: mathgroup at
  • Subject: [mg18271] Re: O.D.E in Power Series
  • From: "Kevin J. McCann" <kevin.mccann at>
  • Date: Fri, 25 Jun 1999 15:05:19 -0400
  • Organization: Johns Hopkins University Applied Physics Lab, Laurel, MD, USA
  • References: <7ku0dk$>
  • Sender: owner-wri-mathgroup at


Define z = x+3, the DE becomes:

-3y[z] - 2 z y'[z] + y''[z] == 0

Which is solvable by DSolve in terms of hypergeometric functions. Careful,
these functions can get large for some arguments.  I am not sure why Mathematica 
can't see this simple transformation.


Kevin J. McCann
Johns Hopkins University APL

ALAN S BLOOM <ALAN12 at> wrote in message
news:7ku0dk$9a1 at
> I am trying to solve this equation below:
> y''-2(x+3)y'-3y=0 with the DSolve command.
> DSolve [y''[x]-2(x+3)y'[x]-3y[x]==0,y[x],x]
> How can I make it work?
> Alan

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