From: zimmerma@leibniz.loria.fr (Paul Zimmermann) Newsgroups: sci.math.symbolic Subject: solve ODEs and PDEs by mail Date: 29 Nov 1995 16:19:59 GMT To all those that have ordinary or partial differential equations to solve: Alain Moussiaux from Belgium has designed a Reduce program named CONVODE that solves many ODEs and PDEs, much more than classical computer algebra systems. This program can be used by mail. For example, to solve the equation (x^2-1) y'^2 - 2 x y y' + y^2 - 1 = 0, just send the message NMAX:=3; SMAX:=5; ARGSTOP:=2; LPARTI:={}; depend y,x; L1:={(x^2-1)*df(y,x)^2-2*x*y*df(y,x)+y^2-1=0}; L2:={y}; L3:={x}; L4:={}; L5:={}; CONVODE(L1,L2,L3,L4,L5); to and you will get the following answer 2 {Y= - SQRT(CTE + 1) + X*CTE, 2 Y=SQRT(CTE + 1) + X*CTE, 2 2 - X - Y + 1=0} For further queries about CONVODE, please contact Alain Moussiaux . -- Paul Zimmermann INRIA Lorraine Technopole de Nancy-Brabois 615 rue du Jardin Botanique BP 101 F-54600 Villers-les-Nancy Paul.Zimmermann@loria.fr