Problem with differential equation!!!

IIRC Maple's diffeq routines are perhaps the best going right now -
there was some excellent work done by these folks:  .  Using the papers
it might be possible to eventually duplicate some or most of this power
in Maxima (I seem to recall David's package was written using those
papers?) but it will not be an easy task.  I think there is a test
suite they use to compare Maple's solving power to other CASs, perhaps
those equations could be made into an rtest file as a sort of "goals to
shoot for" type thing.  The pages used to be here, currently I'm
getting an error (an older version is still in archive.org):

http://lie.uwaterloo.ca/pdetools.htm
http://lie.uwaterloo.ca/odetools.htm

Papers include:

"A Computational Approach for the Analytical Solving of Partial
Differential Equations", Computer Physics Communications, 90 (1995)
102-116

"Analytical Solving of Partial Differential Equations using Symbolic
Computing", Proceedings of "Computing in High Energy Physics"
(CHEP-1995), World Scientific Publishing Co
http://arxiv.org/PS_cache/gr-qc/pdf/9511/9511001.pdf

E.S. Cheb-Terrab, T. Kolokolnikov, "First Order ODEs, Symmetries and
Linear Transformations", submitted (July 2000) for publication in
European Journal of Applied Mathematics. 
http://citeseer.ist.psu.edu/420202.html

E.S. Cheb-Terrab, A.D. Roche, "An Abel ODE Class Generalizing Known
Integrable Classes", accepted (April 2000) for publication in European
Journal of Applied Mathematics.
http://citeseer.ist.psu.edu/412112.html

E.S. Cheb-Terrab, A.D. Roche, "Abel ODEs: Equivalence and Integrable
Classes", Computer Physics Communications, 130 (2000) 197.
http://citeseer.ist.psu.edu/413540.html

E.S. Cheb-Terrab, A.D. Roche, "Integrating Factors for Second Order
ODEs", Journal of Symbolic Computation V 27, No. 5, p. 501-519 (1999). 
http://arxiv.org/PS_cache/math-ph/pdf/0002/0002025.pdf

E.S. Cheb-Terrab, A.D. Roche, "Symmetries and First Order ODE
Patterns", Computer Physics Communications, 113 (1998) 239. 
http://citeseer.ist.psu.edu/cheb-terrab98symmetries.html

E.S. Cheb-Terrab, L.G.S. Duarte and L.A. da Mota, "Computer Algebra
Solving of Second Order ODEs Using Symmetry Methods", Computer Physics
Communications 108 (1998) 90. 
http://citeseer.ist.psu.edu/cheb-terrab98computer.html

E.S. Cheb-Terrab, L.G.S. Duarte and L.A. da Mota, "Computer Algebra
Solving of First Order ODEs Using Symmetry Methods", Computer Physics
Communications, 101 (1997) 254. 
http://citeseer.ist.psu.edu/cheb-terrab97computer.html

E.S. Cheb-Terrab and A.D. Roche, "Integrating Factors and ODE
Patterns", submitted to Journal of Symbolic Computation 
http://arxiv.org/PS_cache/physics/pdf/9711/9711027.pdf


Note to self:   check this out-
http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TY8-45998RH-K&_coverDate=05%2F10%2F2003&_alid=249523938&_rdoc=1&_fmt=&_orig=search&_qd=1&_cdi=5612&_sort=d&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=ae351b7a87d0cd5ab2808d75641d98a0


	
		
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