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