I have showed that if the integrand [tex]f[/tex] in the variational problem(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\delta (\int f dx ) = 0[/tex]

does not depend explicitly on the independent variable x, i.e. satisfies [tex]f = f(y, \dot{y})[/tex], then the Euler equation can be integrated to

[tex]\dot{y} \frac{\partial f}{\partial \dot{y}} - f = const.[/tex]

How can I give an interpretation of this constant for the case that [tex] f = L[/tex] is the Lagrangian and [tex]x = t[/tex] is the time?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Interpretation of the Lagrangian

**Physics Forums | Science Articles, Homework Help, Discussion**