Calculus of variations is a subject where you study the extrema (maximum or minimum) of a function of functions.
We know that, to find the extrema (maximum or minimum) of a “functional” of the form
we first identify and substitute in Euler Equation (Or sometimes called Euler-Lagrange Equation)
to obtain a Ordinary Differential Equation, solving which gives the extrema we are looking for, making use of the boundary conditions.
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