Timeline for A simple ordinary differential equation
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 21, 2011 at 8:15 | vote | accept | Marc Palm | ||
| Nov 17, 2010 at 11:10 | comment | added | Marc Palm | I choose this as the correct answer since it comes closest to what I wanted. In the case of an elliptic equation, we get Jacobi's theory of elliptic function. This theory is well understood. If there a nicer expression I will probably find them here. The function $\sqrt{x}$ is "almost entire", hence I accept this argument as an indication! Thanks for this illustrating examples. | |
| Nov 17, 2010 at 11:00 | vote | accept | Marc Palm | ||
| Jul 21, 2011 at 8:15 | |||||
| Nov 15, 2010 at 16:56 | comment | added | Dick Palais | Thanks, you're right, J.M., I did forget the square! :-( | |
| Nov 15, 2010 at 16:20 | comment | added | J. M. isn't a mathematician | I don't think you need elliptic functions yet for $d=3$; you may have been thinking of the DE for Weierstrass: ${y^{\prime}}^2=4y^3-a y-b$ where the derivative is squared. On the other hand, $y^{\prime}=4y^3-a y-b$ requires the solution of a nasty-looking transcendental equation involving sums of logarithms. | |
| Nov 15, 2010 at 15:41 | history | answered | Dick Palais | CC BY-SA 2.5 |