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Euler–Lagrange equation

Creator
Creator
Seonglae Cho
Created
Created
2024 May 2 12:45
Editor
Editor
Seonglae Cho
Edited
Edited
2024 Jul 23 6:3
Refs
Refs
Leonhard Euler
Joseph-Louis Lagrange
The Action Principle
By differentiating the scalar Lagrangian in the energy dimension with respect to the generalized coordinates and generalized velocities, excluding the constraints, the Euler-Lagrange equation is derived using the variational method.
 
 
 
 
Euler–Lagrange equation
In the calculus of variations and classical mechanics, the Euler–Lagrange equations[1] are a system of second-order ordinary differential equations whose solutions are stationary points of the given action functional. The equations were discovered in the 1750s by Swiss mathematician Leonhard Euler and Italian mathematician Joseph-Louis Lagrange.
Euler–Lagrange equation
https://en.wikipedia.org/wiki/Euler–Lagrange_equation
 
 
 

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Euler–Lagrange equation
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