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Q85Section II (Mathematics)85 of 180

Calculus of variations — Euler's equation when F=F(x,y′)F=F(x,y')

The extremals of I(y(x))=∫x1x2f(x,y′) dxI(y(x))=\int_{x_1}^{x_2}f(x,y')\,dx are obtained as the solution of the equation:

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