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12:14
YouTube
Faculty of Khan
The Brachistochrone Problem and Solution | Calculus of Variations
In this video, I set up and solve the brachistochrone problem, which involves determining the path of shortest travel in the presence of a downward gravitational field. This is done using the techniques of Calculus of Variations, and it will turn out that the brachistochrone can be represented by the parametric equations of a cycloid. The ...
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