3.317   ODE No. 317

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

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

Mathematica: cpu = 0.320541 (sec), leaf count = 23 \[ \text {Solve}\left [y(x)^2-\frac {x}{y(x)}+\log (y(x))+\log (x)=c_1,y(x)\right ] \]

Maple: cpu = 0.093 (sec), leaf count = 29 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( - \left ( { {\rm e}^{{\it \_Z}}} \right ) ^{3}-{{\rm e}^{{\it \_Z}}}\ln \left ( x \right ) +{{\rm e}^{{\it \_Z}}}{\it \_C1}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+x \right ) }} \right \} \]