2.317   ODE No. 317

\[ \left (x^2+2 x y(x)^3+x y(x)\right ) y'(x)+y(x)^2-x y(x)=0 \] Mathematica : cpu = 0.305927 (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 = 0.183 (sec), leaf count = 29


\[y \relax (x ) = {\mathrm e}^{\RootOf \left (-{\mathrm e}^{3 \textit {\_Z}}-{\mathrm e}^{\textit {\_Z}} \ln \relax (x )+{\mathrm e}^{\textit {\_Z}} c_{1}-\textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}+x \right )}\]