Question: Using Euler's equation for (y(x)), prove that This equation provides an alternative method for solving problems in which the integrand (f) is not an explicit

Using Euler's equation for $y(x)$, prove that

af d of = 0. dx

This equation provides an alternative method for solving problems in which the integrand $f$ is not an explicit function of $x$, because in that case the quantity $f-y^{\prime} \partial f / \partial y^{\prime}$ is constant, which is only a first-order differential equation.

af d of = 0. dx

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