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changing variables in differential equations

• To: mathgroup at smc.vnet.net
• Subject: [mg100613] changing variables in differential equations
• From: Andre Hautot <ahautot at ulg.ac.be>
• Date: Tue, 9 Jun 2009 03:56:31 -0400 (EDT)

Hello,
Given an ordinary differential equation of order n, H(x,y,y',y'',...)=0
Given the change of variables : x=x(u,v) and y=y(u,v)
How to calculate (hopefully recursively) y', y'', and so on as functions 
of say : u, v', v''

In other words how to translate automatically the differential equation 
in terms of the new variables ?
Thanks in advance