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Q84Section II (Mathematics)84 of 180

First integral of a second-order Euler–Lagrange (Euler–Poisson) equation

The first integral of Euler-Lagrange's differential equation of the functional I(y(x))=∫x1x2f(x,y′,y") dxI(y(x))=\int_{x_1}^{x_2}f(x,y',y")\,dx is:

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