\[ \boxed { \left ( xy \left ( x \right ) -{x}^{2} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{2}-3\,xy \left ( x \right ) -2\,{x}^{2}=0} \]
Mathematica: cpu = 0.028504 (sec), leaf count = 54 \[ \left \{\left \{y(x)\to x-\frac {\sqrt {e^{2 c_1}+2 x^4}}{x}\right \},\left \{y(x)\to \frac {\sqrt {e^{2 c_1}+2 x^4}}{x}+x\right \}\right \} \]
Maple: cpu = 0.125 (sec), leaf count = 59 \[ \left \{ y \left ( x \right ) ={\frac {1}{{\it \_C1}\,x} \left ( {x}^{2}{ \it \_C1}-\sqrt {2\,{x}^{4}{{\it \_C1}}^{2}+1} \right ) },y \left ( x \right ) ={\frac {1}{{\it \_C1}\,x} \left ( {x}^{2}{\it \_C1}+\sqrt {2 \,{x}^{4}{{\it \_C1}}^{2}+1} \right ) } \right \} \]