variable substitution in differential eqns

*To*: mathgroup at smc.vnet.net*Subject*: [mg61950] variable substitution in differential eqns*From*: "Joseph Fagan" <noemailplease at nowhere.ru>*Date*: Sat, 5 Nov 2005 01:53:01 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

For Calculus of Variations, I need to make some hairy variable substitutions. A simple substitution example is shown here in the first few lines. See http://mathworld.wolfram.com/Second-OrderOrdinaryDifferentialEquation.html If I make the substitution x=1/z how can I get Mathematica to give me eqn (2) and eqn (5) and, being greedy, eqn (6)? or point me to where to begin. Thanks Joe

**Follow-Ups**:**Re: variable substitution in differential eqns***From:*"Carl K. Woll" <carl@woll2woll.com>

**Re: variable substitution in differential eqns***From:*"Carl K. Woll" <carl@woll2woll.com>