Timeline for Why do I need the Beltrami identity to solve the brachistochrone problem?
Current License: CC BY-SA 4.0
3 events
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Jul 3, 2023 at 17:48 | comment | added | Michael Seifert | @Eli You can, but isn't that ultimately the same equation that comes from the Beltrami identity? I thought you were trying to avoid using it. | |
Jul 3, 2023 at 17:44 | comment | added | Eli | thank you for your response . I agree with you, but i can transfer the equation to this one $\frac{\dot x^2}{(\dot x^2+\dot y^2)\,y}=k\quad\Rightarrow\quad \frac{1}{(1+y'^2)\,y(x)}=k$ and solve it for $~y(x)$ | |
Jul 3, 2023 at 16:18 | history | answered | Michael Seifert | CC BY-SA 4.0 |