3.918   ODE No. 918

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =2\,{\frac { \left ( y \left ( x \right ) \right ) ^{8}}{ \left ( y \left ( x \right ) \right ) ^{5}+2\, \left ( y \left ( x \right ) \right ) ^{6}+2\, \left ( y \left ( x \right ) \right ) ^{2}+16\,x \left ( y \left ( x \right ) \right ) ^{4}+32\, \left ( y \left ( x \right ) \right ) ^{6}{x}^{2}+2+24\,x \left ( y \left ( x \right ) \right ) ^{2}+96\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{4}+128\,{x}^{3} \left ( y \left ( x \right ) \right ) ^{6}}}=0} \]

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

Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]

Maple: cpu = 0.858 (sec), leaf count = 41 \[ \left \{ x-{\it RootOf} \left ( \int ^{{\it \_Z}}\! \left ( 64\,{{\it \_a}}^{3}+16\,{{\it \_a}}^{2}+1 \right ) ^{-1}{d{\it \_a}}y \left ( x \right ) +y \left ( x \right ) {\it \_C1}+1 \right ) +{\frac {1}{4\, \left ( y \left ( x \right ) \right ) ^{2}}}=0 \right \} \]