3.889   ODE No. 889

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =-1/8\,{\frac { \left ( -8-8\, \left ( y \left ( x \right ) \right ) ^{3}+24\, \left ( y \left ( x \right ) \right ) ^{3/2}{{\rm e}^{x}}-18\, \left ( {{\rm e}^{x}} \right ) ^{2}-8\, \left ( y \left ( x \right ) \right ) ^{9/2}+36\, \left ( y \left ( x \right ) \right ) ^{3}{{\rm e}^{x}}-54\, \left ( y \left ( x \right ) \right ) ^{3/2} \left ( {{\rm e}^{x}} \right ) ^{2}+27\, \left ( {{\rm e}^{x}} \right ) ^{3} \right ) {{\rm e}^{x}}}{\sqrt {y \left ( x \right ) }}}=0} \]

  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 = 47 \[ \left \{ {{\rm e}^{x}}+{\frac {2}{3}\ln \left ( \left ( y \left ( x \right ) \right ) ^{{\frac {3}{2}}}-{\frac {3\,{{\rm e}^{x}}}{2}} \right ) }+{\frac {2}{3} \left ( \left ( y \left ( x \right ) \right ) ^{ {\frac {3}{2}}}-{\frac {3\,{{\rm e}^{x}}}{2}} \right ) ^{-1}}-{\frac {2 }{3}\ln \left ( \left ( y \left ( x \right ) \right ) ^{{\frac {3}{2}}}- {\frac {3\,{{\rm e}^{x}}}{2}}+1 \right ) }-{\it \_C1}=0 \right \} \]