Timeline for Techniques to solve a non-linear differential equation related to curvature
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 30, 2016 at 0:22 | comment | added | Robert Bryant | @Mehrdad: You multiply both sides of the equation by $2y'$ and then integrate with respect to $x$. | |
| May 29, 2016 at 22:53 | comment | added | user541686 | I"m a little confused (I'm not familiar with the technique), but I don't immediately see how you integrated this (or what you even integrated with respect to). Did you integrate with respect to $y$? How did you integrate $y''$ with respect to $y$...? | |
| May 29, 2016 at 12:58 | comment | added | Robert Bryant | @SylvainJULIEN: You are welcome. Of course, for geometric purposes, you might want to allow reparametrizations of the curve $\bigl(x,y(x)\bigr)$ in the form $\bigl(x(s),y(s)\bigr)$ where $s$ is arclength. Then the curve can be continued further as a $C^2$ (in fact, $C^\infty$) curve, through places where the tangent to the curve turns vertical. You might want to think about that for your application. | |
| May 29, 2016 at 11:26 | vote | accept | Sylvain JULIEN | ||
| May 29, 2016 at 10:54 | history | answered | Robert Bryant | CC BY-SA 3.0 |