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1. The problem statement, all variables and given/known data

What is the change in the Lagrangian in order that the Lagrangian equations of motion retain their form under the transformation to new coordinates and "time" give by:

q = q(Q, [tex]\tau[/tex])

t = t(Q, [tex]\tau[/tex])

2. Relevant equations

The Lagrange equations of motion.

*That tau is not supposed to be a superscript of anything. I tried to write the LaTex code myself and it didn't work. It's just supposed to be regular lower case tau.

3. The attempt at a solution

I have shown that the Lagrange equations of motion are invariant under a coordinate transformation of the same time, but I can't get this one to workout because I don't know how far I need to take the partials.

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# Homework Help: The invariance of Lagrange's equations with a given time

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