Euler-Lagrange equation - Misplaced Pages

Math Formula Information

Formula: ${\frac {\partial L}{\partial q_{i}}}={\frac {\mathrm {d} }{\mathrm {d} t}}\left({\frac {\partial L}{\partial {\dot {q}}_{i}}}\right)$

Name: Euler-Lagrange equation

Description: Second-order partial differential equation whose solutions are the functions for which a given functional is stationary

Lagrange function	$L$	function of generalized coordinates and velocities from which the equations of motion of a mechanical system can be derived
generalized coordinate	$q_{i}$	parameters that describe the configuration of the system relative to some reference configuration
duration	$t$	physical quantity for describing the temporal distance between events