\[ x^2 y(x)^3+x (x y(x)-2) y'(x)+x y(x)^2-2 y(x)=0 \] ✓ Mathematica : cpu = 0.13917 (sec), leaf count = 99
DSolve[-2*y[x] + x*y[x]^2 + x^2*y[x]^3 + x*(-2 + x*y[x])*Derivative[1][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to -\frac {2 x}{-x^2+\frac {\sqrt {2} \sqrt {-\frac {x}{2}-2 x (-\log (x)+c_1)}}{\sqrt {-\frac {1}{x^3}}}}\right \},\left \{y(x)\to \frac {2 x}{x^2+\frac {\sqrt {2} \sqrt {-\frac {x}{2}-2 x (-\log (x)+c_1)}}{\sqrt {-\frac {1}{x^3}}}}\right \}\right \}\] ✓ Maple : cpu = 0.027 (sec), leaf count = 59
dsolve(x*(x*y(x)-2)*diff(y(x),x)+x^2*y(x)^3+x*y(x)^2-2*y(x) = 0,y(x))
\[y \left (x \right ) = \frac {-1+\sqrt {1-4 \ln \left (x \right )+4 c_{1}}}{2 \left (-\ln \left (x \right )+c_{1}\right ) x}\]