ODE No. 913

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

\[ y'(x)=\frac {y(x)^3+y(x)+y(x)^3 \left (-\log ^3(x)\right )+y(x)^3 \log ^2(x)+3 y(x)^2 \log ^2(x)-2 y(x)^2 \log (x)-3 y(x) \log (x)+1}{x y(x)} \] Mathematica : cpu = 3600.01 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.076 (sec), leaf count = 43

\[ \left \{ y \left ( x \right ) =9\, \left ( 9\,\ln \left ( x \right ) +56\,{\it RootOf} \left ( -81\,\int ^{{\it \_Z}}\! \left ( 3136\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}-\ln \left ( x \right ) +3\,{\it \_C1} \right ) -3 \right ) ^{-1} \right \} \]