2.706   ODE No. 706

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)=-\frac {1}{8} x (y(x)+1)^2 (-\log (y(x)-1)+\log (y(x)+1)+2 \log (x)) \] Mathematica : cpu = 300.06 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.484 (sec), leaf count = 65

\[ \left \{ \int _{{\it \_b}}^{y \left ( x \right ) }\!-{\frac {1}{2\,{\it \_a}+2} \left ( -{\frac {{x}^{2} \left ( {\it \_a}+1 \right ) \ln \left ( {\it \_a}-1 \right ) }{2}}+{\frac {{x}^{2} \left ( {\it \_a}+1 \right ) \ln \left ( {\it \_a}+1 \right ) }{2}}+{x}^{2} \left ( {\it \_a}+1 \right ) \ln \left ( x \right ) +4\,{\it \_a}-4 \right ) ^{-1}}\,{\rm d}{\it \_a}-{\frac {\ln \left ( x \right ) }{8}}-{\it \_C1}=0 \right \} \]