Timeline for Maximal solution and its domain of $x'(t) = x(t)^{x(t)}$.
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 1, 2021 at 15:48 | vote | accept | offline | ||
| Nov 18, 2020 at 22:17 | comment | added | Lutz Lehmann | So $x(t)\ge x_0+\frac12t$ which evaluates with $x_0>0$ to $x(4)>2$. Now if $x>2$, then $x^x>x^2$, next use separation of variables to solve the differential inequality. | |
| Nov 18, 2020 at 21:44 | comment | added | offline | Thank you for your answer! I can follow your argument up to $x' \geq \frac{1}{2}$. Unfortunately I do not understand the rest. Would you mind explaining it a bit more detailed? | |
| Nov 3, 2020 at 10:39 | history | answered | Lutz Lehmann | CC BY-SA 4.0 |