2.971   ODE No. 971

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

\[ y'(x)=\frac {(x y(x)+1)^3}{x^5} \] Mathematica : cpu = 300.46 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.35 (sec), leaf count = 86

\[ \left \{ y \left ( x \right ) ={\frac {\sqrt {3}}{6\,x} \left ( 3\,\tan \left ( {\it RootOf} \left ( -18\,{x}^{3} \left ( -{x}^{-6} \right ) ^{2/3}-6\,{\it \_Z}\,\sqrt {3}-\ln \left ( {\frac { \left ( \sqrt {3}+\tan \left ( {\it \_Z} \right ) \right ) ^{6}}{ \left ( \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}+1 \right ) ^{3}}} \right ) +18\,{\it \_C1} \right ) \right ) {x}^{3}\sqrt [3]{-{x}^{-6}}+\sqrt {3} \left ( {x}^{3}\sqrt [3]{-{x}^{-6}}-2 \right ) \right ) } \right \} \]