Euler Lagrange Equation : if y(x) is a curve which minimizes/maximizes the functional :
[SIZE="4"]F\left[y(x)\right] = \int^{a}_{b} [SIZE="4"]f(x,y(x),y'(x))dx
then, the following Euler Lagrange Differential Equation is true.
\frac{\partial}{\partial x} [SIZE="4"]-...