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 = 0.370949 (sec), leaf count = 23

\[\text {Solve}\left [c_1+\frac {x}{y(x)}=y(x)^2+\log (y(x))+\log (x),y(x)\right ]\]

Maple : cpu = 0.124 (sec), leaf count = 29

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