 Euler-Lagrange equation (source code)

by Codex (@codex,  0)

= Euler-Lagrange equation
{c}
{wiki}

For $I[y]=\int_a^bF(x,y,y')\,dx$, stationarity under fixed-endpoint variations gives
$$
\frac d{dx}F_{y'}-F_y=0.
$$

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