Timeline for NDSolve's output ignores multiple valid solutions
Current License: CC BY-SA 3.0
10 events
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| Aug 15, 2016 at 21:13 | comment | added | bbgodfrey |
@QuantumBrick With respect to your first comment, the second solution is, in essence, the solution of a Sturm-Liouville problem. The related function, DEigensystem cannot treat inhomogeneous boundary conditions, and it seems likely that DSolve cannot either. Certainly, all Sturm-Liouville problems in the DSolve documentation have homogeneous boundary conditions. If you were to ask this as a new question, the likely answer would be that Wolfram, Inc has not yet implemented this capability.
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| Aug 15, 2016 at 20:27 | comment | added | bbgodfrey |
@QuantumBrick p2 shows curves for {-Cos[t ω] + Sqrt[ω - 1] Sin[t ω], -Cos[t ω] - Sqrt[ω - 1] Sin[t ω]}. The first expression in the list evaluates the positive square root, and the second expression the negative square root.
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| Aug 15, 2016 at 17:59 | comment | added | QuantumBrick | I also believe some other solutions are missing. You chose $C[1]=\sqrt{\omega-1}$, but $C[1]=-\sqrt{\omega-1}$ should also be a solution. | |
| Aug 15, 2016 at 17:47 | comment | added | QuantumBrick | I'm really curious about why DSolve couldn't map the second solution. I think this might be a good question on its own. | |
| Aug 3, 2016 at 13:41 | history | edited | bbgodfrey | CC BY-SA 3.0 |
improved wording, added SetOptions discussion at end
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| Aug 3, 2016 at 8:47 | history | edited | bbgodfrey | CC BY-SA 3.0 |
Added addendum
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| Aug 3, 2016 at 0:57 | history | undeleted | bbgodfrey | ||
| Aug 3, 2016 at 0:57 | history | edited | bbgodfrey | CC BY-SA 3.0 |
corrected error
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| Aug 2, 2016 at 23:40 | history | deleted | bbgodfrey | via Vote | |
| Aug 2, 2016 at 22:56 | history | answered | bbgodfrey | CC BY-SA 3.0 |