\[ \boxed { \left ( 3\,x \left ( y \left ( x \right ) \right ) ^{2}-{x}^{2} \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{3}-2\,xy \left ( x \right ) =0} \]
Mathematica: cpu = 0.017002 (sec), leaf count = 371 \[ \left \{\left \{y(x)\to -\frac {\sqrt [3]{\frac {2}{3}} x^2}{\sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {27 c_1^2 x^4-4 x^9}}}-\frac {\sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {27 c_1^2 x^4-4 x^9}}}{\sqrt [3]{2} 3^{2/3} x}\right \},\left \{y(x)\to \frac {\left (1+i \sqrt {3}\right ) x^2}{2^{2/3} \sqrt [3]{3} \sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {27 c_1^2 x^4-4 x^9}}}+\frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {27 c_1^2 x^4-4 x^9}}}{2 \sqrt [3]{2} 3^{2/3} x}\right \},\left \{y(x)\to \frac {\left (1-i \sqrt {3}\right ) x^2}{2^{2/3} \sqrt [3]{3} \sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {27 c_1^2 x^4-4 x^9}}}+\frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {27 c_1^2 x^4-4 x^9}}}{2 \sqrt [3]{2} 3^{2/3} x}\right \}\right \} \]
Maple: cpu = 0.125 (sec), leaf count = 327 \[ \left \{ y \left ( x \right ) ={\frac {1}{6\,x}\sqrt [3]{ \left ( 12\, \sqrt {-12\,{x}^{5}+81\,{{\it \_C1}}^{2}}+108\,{\it \_C1} \right ) {x}^ {2}}}+2\,{\frac {{x}^{2}}{\sqrt [3]{ \left ( 12\,\sqrt {-12\,{x}^{5}+81 \,{{\it \_C1}}^{2}}+108\,{\it \_C1} \right ) {x}^{2}}}},y \left ( x \right ) =-{\frac {1}{12\,x}\sqrt [3]{ \left ( 12\,\sqrt {-12\,{x}^{5}+ 81\,{{\it \_C1}}^{2}}+108\,{\it \_C1} \right ) {x}^{2}}}-{{x}^{2}{ \frac {1}{\sqrt [3]{ \left ( 12\,\sqrt {-12\,{x}^{5}+81\,{{\it \_C1}}^{ 2}}+108\,{\it \_C1} \right ) {x}^{2}}}}}-{\frac {i}{2}}\sqrt {3} \left ( {\frac {1}{6\,x}\sqrt [3]{ \left ( 12\,\sqrt {-12\,{x}^{5}+81\, {{\it \_C1}}^{2}}+108\,{\it \_C1} \right ) {x}^{2}}}-2\,{\frac {{x}^{2} }{\sqrt [3]{ \left ( 12\,\sqrt {-12\,{x}^{5}+81\,{{\it \_C1}}^{2}}+108 \,{\it \_C1} \right ) {x}^{2}}}} \right ) ,y \left ( x \right ) =-{\frac { 1}{12\,x}\sqrt [3]{ \left ( 12\,\sqrt {-12\,{x}^{5}+81\,{{\it \_C1}}^{2 }}+108\,{\it \_C1} \right ) {x}^{2}}}-{{x}^{2}{\frac {1}{\sqrt [3]{ \left ( 12\,\sqrt {-12\,{x}^{5}+81\,{{\it \_C1}}^{2}}+108\,{\it \_C1} \right ) {x}^{2}}}}}+{\frac {i}{2}}\sqrt {3} \left ( {\frac {1}{6\,x} \sqrt [3]{ \left ( 12\,\sqrt {-12\,{x}^{5}+81\,{{\it \_C1}}^{2}}+108\,{ \it \_C1} \right ) {x}^{2}}}-2\,{\frac {{x}^{2}}{\sqrt [3]{ \left ( 12\, \sqrt {-12\,{x}^{5}+81\,{{\it \_C1}}^{2}}+108\,{\it \_C1} \right ) {x}^ {2}}}} \right ) \right \} \]