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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>