Euler-Lagrange-ligning: Forskelle mellem versioner

 

Systemet vil udvikle sig således at [[Virkning (fysik)|virkningen]] <math>I</math> stationeres,<ref name="Goldstein 34-35">Goldstein, Herbert; Poole, Charles; Safko, John. "Variational Principles and Lagrange's Equations", ''Classical Mechanics'' (3. udgave), Addison Wesley, s. 34-35.</ref>

 

:<math> \frac{d}{dt}\left(\frac{\partial L}{\partial \dot x}\right)- \frac{\partial L}{\partial x} = 0</math>

:<math>\Downarrow</math>