Timeline for From power series to differential equations
Current License: CC BY-SA 2.5
16 events
| when toggle format | what | by | license | comment | |
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| Jun 15, 2020 at 7:27 | history | edited | CommunityBot |
Commonmark migration
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| Feb 1, 2012 at 9:37 | comment | added | Tom Copeland | If you consider invertible functions as in oeis.org/A145271, then the autonomous diff. eqn. in that entry applies to characterize f. | |
| Dec 27, 2010 at 11:39 | answer | added | Unknown | timeline score: 0 | |
| Dec 27, 2010 at 1:23 | comment | added | Gerald Edgar | Maybe an algebraist thinks $x$ is an unknown to be solved for, while an analyst thinks $x$ is the independent variable of a function. | |
| Dec 26, 2010 at 18:03 | history | edited | Unknown | CC BY-SA 2.5 |
edited link to wikipedia
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| Dec 26, 2010 at 17:42 | comment | added | Unknown | Thanks. I reworked it exactly as you explained(even with the same variable t) before commenting but wondered why you chose to do so with the $x$'s and $f$'s in that cognitively dissonant way. | |
| Dec 26, 2010 at 15:52 | history | edited | Andrey Rekalo | CC BY-SA 2.5 |
Typo in the title
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| Dec 26, 2010 at 15:39 | answer | added | Gerry Myerson | timeline score: 1 | |
| Dec 26, 2010 at 15:17 | comment | added | Felipe Voloch | $f(t)$, say, is your given function and I wrote a (first-order, linear, homogeneous) differential equation with unknown $x(t)$, which has your $f$ as a solution. | |
| Dec 26, 2010 at 15:05 | comment | added | Unknown | @Felipe. I am confused with your notation. | |
| Dec 26, 2010 at 14:53 | comment | added | Felipe Voloch | $x=f$ is the unique solution to $x'=(f'/f)x, x(0)=f(0)$ if $f(0)\ne 0$. This is of course stupid, but it shows shows that you need to make your question a bit more precise. | |
| Dec 26, 2010 at 14:07 | comment | added | Unknown | Note that my question here is not restricted to algebraic differential equations. | |
| Dec 26, 2010 at 14:04 | history | edited | Unknown | CC BY-SA 2.5 |
deleted 76 characters in body
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| Dec 26, 2010 at 14:02 | comment | added | J. M. isn't a mathematician | If the Barnes function has a nice DE, I'd sure love to see it: mathworld.wolfram.com/BarnesG-Function.html | |
| Dec 26, 2010 at 14:01 | comment | added | Gjergji Zaimi | Duplicate? mathoverflow.net/questions/21314/… | |
| Dec 26, 2010 at 13:38 | history | asked | Unknown | CC BY-SA 2.5 |