3.534   ODE No. 534

\[ \boxed { 4\,x \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{3}-6\,y \left ( x \right ) \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+3\,y \left ( x \right ) -x=0} \]

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

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

Maple: cpu = 0.062 (sec), leaf count = 102 \[ \left \{ y \left ( x \right ) =x,y \left ( x \right ) = \left ( -{\frac {1} {2}}-{\frac {\sqrt {3}}{2}} \right ) x,y \left ( x \right ) = \left ( { \frac {\sqrt {3}}{2}}-{\frac {1}{2}} \right ) x,y \left ( x \right ) ={x \left ( -{\frac { \left ( x+{\it \_C1} \right ) \sqrt {2}}{{{\it \_C1}}^ {2}}\sqrt {{\it \_C1}\, \left ( x+{\it \_C1} \right ) }}+1 \right ) \left ( -3\,{\frac {x+{\it \_C1}}{{\it \_C1}}}+3 \right ) ^{-1}},y \left ( x \right ) ={x \left ( {\frac { \left ( x+{\it \_C1} \right ) \sqrt {2}}{{{\it \_C1}}^{2}}\sqrt {{\it \_C1}\, \left ( x+{\it \_C1} \right ) }}+1 \right ) \left ( -3\,{\frac {x+{\it \_C1}}{{\it \_C1}}}+3 \right ) ^{-1}} \right \} \]