## Anyone know how to interpret the euler-lagrange differential equation?

Hi,
I am having a calculus class now and these days the instructor is introducing the Euler-Lagrange differential equation. I have no idea why the formula (general form) is like that way. Is anyone here know how to interprete the formula and help me to understand it?

dF/df-(d/dx)dF/df'=0

Many thanks.

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

2. Relevant equations

3. The attempt at a solution

 PhysOrg.com science news on PhysOrg.com >> Hong Kong launches first electric taxis>> Morocco to harness the wind in energy hunt>> Galaxy's Ring of Fire
 Recognitions: Gold Member The way it's introduced in physics is how it satisfies least-action principles using variational calculus; that is the variation of the action is 0: $$$\delta \int {L(\mathord{\buildrel{\lower3pt\hbox{\scriptscriptstyle\rightharpoonup }} \over x} } ,\mathord{\buildrel{\lower3pt\hbox{\scriptscriptstyle\rightharpoonup} } \over x} ',t)dt = 0$$$ The Euler-Lagrange equations determine your equations of motion.