\[ \boxed { 3\,x \left ( y \left ( x \right ) \right ) ^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) + \left ( y \left ( x \right ) \right ) ^{3}-2\,x=0} \]
Mathematica: cpu = 0.009001 (sec), leaf count = 72 \[ \left \{\left \{y(x)\to \frac {\sqrt [3]{c_1+x^2}}{\sqrt [3]{x}}\right \},\left \{y(x)\to -\frac {\sqrt [3]{-1} \sqrt [3]{c_1+x^2}}{\sqrt [3]{x}}\right \},\left \{y(x)\to \frac {(-1)^{2/3} \sqrt [3]{c_1+x^2}}{\sqrt [3]{x}}\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 99 \[ \left \{ y \left ( x \right ) ={\frac {1}{x}\sqrt [3]{ \left ( {x}^{2}+{ \it \_C1} \right ) {x}^{2}}},y \left ( x \right ) =-{\frac {1}{2\,x} \sqrt [3]{ \left ( {x}^{2}+{\it \_C1} \right ) {x}^{2}}}-{\frac {{\frac {i}{2}}\sqrt {3}}{x}\sqrt [3]{ \left ( {x}^{2}+{\it \_C1} \right ) {x}^{ 2}}},y \left ( x \right ) =-{\frac {1}{2\,x}\sqrt [3]{ \left ( {x}^{2}+{ \it \_C1} \right ) {x}^{2}}}+{\frac {{\frac {i}{2}}\sqrt {3}}{x}\sqrt [ 3]{ \left ( {x}^{2}+{\it \_C1} \right ) {x}^{2}}} \right \} \]