\[ y'(x)=\frac {(x-y(x)) y(x)}{x \left (-y(x)^4-y(x)^3-y(x)+x\right )} \] ✓ Mathematica : cpu = 0.427055 (sec), leaf count = 37
\[\text {Solve}\left [-\frac {1}{3} y(x)^3-\frac {y(x)^2}{2}-\frac {x}{y(x)}-\log (y(x))+\log (x)=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.197 (sec), leaf count = 38
\[y \relax (x ) = {\mathrm e}^{\RootOf \left (2 \,{\mathrm e}^{4 \textit {\_Z}}+3 \,{\mathrm e}^{3 \textit {\_Z}}-6 \ln \relax (x ) {\mathrm e}^{\textit {\_Z}}+6 \,{\mathrm e}^{\textit {\_Z}} c_{1}+6 \textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}+6 x \right )}\]