Timeline for Is it possible to obtain explicit symbolic solutions to such linear ordinary differential equations?
Current License: CC BY-SA 3.0
9 events
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Aug 11, 2014 at 8:54 | comment | added | Karsten7 | @LCFactorization It isn't impossible. The remaining problem (see my additional note) generally has a formal solution, but it is in general not a simple function that would be suitable for a fitting procedure. So far I didn't encounter this class of equations in my experimental systems and therefore can't give you any further advice on how to tackle it. | |
Aug 11, 2014 at 8:28 | history | edited | Karsten7 | CC BY-SA 3.0 |
added additional note
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Aug 11, 2014 at 1:46 | comment | added | LCFactorization | so it is still impossible to obtain them all? | |
Aug 10, 2014 at 11:39 | comment | added | Karsten7 |
@LCFactorization at least you can use pSol to fit k1 , k2 , k3 , and k4 .
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Aug 10, 2014 at 2:42 | comment | added | LCFactorization | Is it to solve the prolbem mathoverflow.net/questions/178192/… via MMA? | |
Aug 10, 2014 at 2:30 | history | edited | Karsten7 | CC BY-SA 3.0 |
added 562 characters in body
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Aug 10, 2014 at 2:24 | comment | added | LCFactorization |
I also tried the same methods. I originally was trying to fit $k_i$s via measured data as below {{30.0, 9.1300, 0.0931, 0.0899, 0.1000, 0.0000}, {60.0, 8.9261, 0.1270, 0.1229, 0.2272, 0.0049}, {90.0, 8.6006, 0.1509, 0.1392, 0.4917, 0.0153}, {120.0, 8.2823, 0.1537, 0.1491, 0.7783, 0.0249}, {150.0, 7.9652, 0.1537, 0.1567, 1.0716, 0.0329}, {180.0, 7.8637, 0.1536, 0.1603, 1.1659, 0.0348}, {210.0, 7.8120, 0.1530, 0.1532, 1.2140, 0.0404}, {240.0, 7.7652, 0.1403, 0.1417, 1.2795, 0.0432}} , columns represents $t$ and $y_i$ respectively
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Aug 10, 2014 at 2:22 | vote | accept | LCFactorization | ||
Aug 10, 2014 at 2:17 | history | answered | Karsten7 | CC BY-SA 3.0 |