Let [itex] \normalsize S[y] = \int ^{a}_{b} f[y, \dot{y}, x] dx [/itex] be the functional i want to minimize. Why does [itex] \normalsize f [/itex] (inside the integral) take this specific form?(adsbygoogle = window.adsbygoogle || []).push({});

Would i not be able to minimize the integral, [itex] \normalsize S[/itex] , if [itex] f [/itex] had any other form instead of [itex] f = f[x, y, \dot{y}] [/itex]?

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# Calculus of Variations: Nature of the Functional

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