3.818   ODE No. 818

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac {y \left ( x \right ) }{x \left ( -1+xy \left ( x \right ) +x \left ( y \left ( x \right ) \right ) ^{3}+x \left ( y \left ( x \right ) \right ) ^{4} \right ) }}=0} \]

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

Mathematica: cpu = 0.047006 (sec), leaf count = 34 \[ \text {Solve}\left [\frac {y(x)^3}{3}+\frac {y(x)^2}{2}+\frac {1}{x y(x)}+\log (y(x))=c_1,y(x)\right ] \]

Maple: cpu = 0.109 (sec), leaf count = 34 \[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( -2\,x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{4}-3\,x \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}+6\,{\it \_C1}\,{{\rm e}^{{\it \_Z}}}x-6\,{{\rm e}^ {{\it \_Z}}}{\it \_Z}\,x-6 \right ) }} \right \} \]