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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   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)   

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