ODE No. 915

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

\[ y'(x)=\frac {y(x)^3+y(x)-8 y(x)^3 \log ^3(x)+4 y(x)^3 \log ^2(x)+12 y(x)^2 \log ^2(x)-4 y(x)^2 \log (x)-6 y(x) \log (x)+1}{x y(x)} \] Mathematica : cpu = 3600. (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.073 (sec), leaf count = 43

\[ \left \{ y \left ( x \right ) =9\, \left ( 18\,\ln \left ( x \right ) +83\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 6889\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}-\ln \left ( x \right ) +3\,{\it \_C1} \right ) -3 \right ) ^{-1} \right \} \]