Timeline for Any help on one ODE
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2 events
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| Dec 27, 2011 at 21:19 | comment | added | Robert Bryant | @Robert: Actually, one must be skeptical about symgen. What this means is that it didn't find any symmetries in the class of symmetries in which it looks. For a single ODE, away from singularities, there always exist symmetries in the sense that there exist nontrivial symmetries of the $xy$-plane that carry solutions curves to solution curves. Moreover, this equation does admit the involution $(x,y)\to (-x, -y)$ and, in the complex plane, the $4$-fold symmetry generated by $(x,y)\to (ix, -iy)$. | |
| Dec 27, 2011 at 20:50 | history | answered | Robert Israel | CC BY-SA 3.0 |