$J = \int_{x_1}^{x_2} f(y,y',x)dx$
I want to find the function $y(x)$ that satisfies $y'(x_2)=a$ and makes $J$ extrema
It can't be solved using Euler-Lagrange Equation because of the first condition.
Is there any methods for solving that problem?
2026-03-28 11:53:27.1774698807
Calulus of variations with differential coefficient on end point
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