2.317   ODE No. 317

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

\[ \left (x^2+2 x y(x)^3+x y(x)\right ) y'(x)+y(x)^2-x y(x)=0 \] Mathematica : cpu = 0.323079 (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 = 0.103 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\it RootOf} \left ( - \left ( {{\rm e}^{{\it \_Z}}} \right ) ^{3}-{{\rm e}^{{\it \_Z}}}\ln \left ( x \right ) +{{\rm e}^{{\it \_Z}}}{\it \_C1}-{\it \_Z}\,{{\rm e}^{{\it \_Z}}}+x \right ) }} \right \} \]