Forums before death by AOL, social media and spammers... "We can't have nice things"
|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]
|    Message 10,241 of 10,432    |
|    Axel Vogt to All    |
|    Re: how to check solution?    |
|    26 Jun 22 21:19:19    |
      From: //noreply@axelvogt.de              Am 24.06.2022 um 07:32 schrieb Dr Huang:       > wolfram give very complicated solution for       > y''=y^2-y       > how to check its solution?       >       > DrHuang.com              Why should it be 'simple'? I am not into ODE and using Maple it gives       an implicit solution which essentially tells me that one has to invert       Int(1/((6*a^3-9*a^2+9*c)^(1/2)), a = 0 .. z) for z, c is a quadric of       the values for f(0) and f'(0).              In rare cases for c that elliptic integral is 'simple', in general it       is in EllipticF of the (complicated) roots of the cubic. Besides then       solving for z.              The implict solution can be 'comfirmed' using Maple's command 'odetest'.              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]
(c) 1994, bbs@darkrealms.ca