\[ x \left (-x^2+x y(x)+y(x)^2\right ) y'(x)+x^2 y(x)-y(x)^3+x y(x)^2=0 \] ✓ Mathematica : cpu = 0.230981 (sec), leaf count = 31
DSolve[x^2*y[x] + x*y[x]^2 - y[x]^3 + x*(-x^2 + x*y[x] + y[x]^2)*Derivative[1][y][x] == 0,y[x],x]
\[\text {Solve}\left [\frac {x}{y(x)}+\frac {y(x)}{x}+\log \left (\frac {y(x)}{x}\right )=-2 \log (x)+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.261 (sec), leaf count = 29
dsolve(x*(y(x)^2+x*y(x)-x^2)*diff(y(x),x)-y(x)^3+x*y(x)^2+x^2*y(x) = 0,y(x))
\[y \left (x \right ) = {\mathrm e}^{\RootOf \left ({\mathrm e}^{2 \textit {\_Z}}+2 \,{\mathrm e}^{\textit {\_Z}} \ln \left (x \right )+2 \,{\mathrm e}^{\textit {\_Z}} c_{1}+\textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}+1\right )} x\]