New posts in euler-lagrange-equation

Inequality constraints in calculus of variations

Lagrangian Mechanics & Derivatives

Is there a geometric reason for why every map has a divergence-free Jacobian cofactor matrix?

Explanation as to why we treat position and velocity as independent variables in the lagrangian?

Deriving Finsler geodesic equations from the energy functional

Doubt about ordinary and partial derivative

What is the integral ∫x(t)dt

Elliptic regularization of the heat equation

Taylor series of $e^{-{1}/{x}}$

Proof of Hartree Energy conservation

Invariance of Euler-Lagrange equation

Show that the full Euler-Lagrange equation of the Brachistochrone is $2y(x)y''(x)+y'(x)^2+1=0$

Why is this a first integral? - particle near Schwarzschild black hole

What steps would you follow to change coordinate systems for this Lagrangian? (Cartesian to Spherical)

Why is $\frac{\operatorname dy'}{\operatorname dy}$ zero, since $y'$ depends on $y$?

Maximizing $\int_0^\infty (1+xy')^2e^y dx$ subject to $\int_0^\infty e^ydx = 1$