Thanks for the reply. I have Saunders' paper as well, describing the algorithm. I am also checking some newer results from Hoeij and Weil, which result in more compact answers. Might be interesting to implement, the only problem is time...
Date: Thu, 5 Apr 2012 08:50:55 +1000
From: dbmaxima at gmail.com
To: nijso at hotmail.com
CC: maxima at math.utexas.edu
Subject: Re: [Maxima] kovacic algorithm
On 5/04/2012 5:49 AM, nijso beishuizen wrote:
Dear all,
Again, a question about something that was once written in/with
macsyma and now (probably) lost...
Does somebody know of a surviving macsyma/maxima implementation
of the kovacic algorithm (solving second order ode's using
differential Galois theory)? In some papers from the beginning
of the 80's the authors state that they 'have implemented the
algorithm in macsyma', most notably Prelle&Singer (1983). At
least 4 different groups have written a version in macsyma and
one version of this algorithm was probably part of Macsyma at
one point (mentioned in the Handbook of differential equations
in 1989).
I asked about this up a few years ago without success. At the time
I contacted David Saunders about his 1981 code,
but he no longer had a copy.