The Beltrami identity is a simplified and less general version of the Euler-Lagrange equation in the calculus of variations. The Euler-Lagrange equation applies to functionals of the form
where a, b are constants and u′(x) = du / dx. For the case of ∂L / ∂x = 0, the Euler-Lagrange equation reduces to the Beltrami identity,
where C is a constant.
Read more about Beltrami Identity: Derivation, Application
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