3.926   ODE No. 926

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) =1/16\,{\frac {-8\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{3}+16\,x \left ( y \left ( x \right ) \right ) ^{2}+16\,x \left ( y \left ( x \right ) \right ) ^{3}-8+12\,xy \left ( x \right ) -6\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+{x}^{3} \left ( y \left ( x \right ) \right ) ^{3}}{ \left ( -2+xy \left ( x \right ) -2\,y \left ( x \right ) \right ) x}}=0} \]

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

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

Maple: cpu = 0.032 (sec), leaf count = 65 \[ \left \{ y \left ( x \right ) =2\,{\frac {\sqrt {{\it \_C1}+8\,\ln \left ( x \right ) }-4}{x\sqrt {{\it \_C1}+8\,\ln \left ( x \right ) }-4 \,x+8}},y \left ( x \right ) =2\,{\frac {\sqrt {{\it \_C1}+8\,\ln \left ( x \right ) }+4}{x\sqrt {{\it \_C1}+8\,\ln \left ( x \right ) }+4 \,x-8}} \right \} \]