\[ 6 x y(x)^2 y'(x)+2 y(x)^3+x=0 \] ✓ Mathematica : cpu = 0.0806778 (sec), leaf count = 99
\[\left \{\left \{y(x)\to \frac {\sqrt [3]{-x^2+4 c_1}}{2^{2/3} \sqrt [3]{x}}\right \},\left \{y(x)\to -\frac {\sqrt [3]{-1} \sqrt [3]{-x^2+4 c_1}}{2^{2/3} \sqrt [3]{x}}\right \},\left \{y(x)\to \frac {(-1)^{2/3} \sqrt [3]{-x^2+4 c_1}}{2^{2/3} \sqrt [3]{x}}\right \}\right \}\] ✓ Maple : cpu = 0.017 (sec), leaf count = 83
\[ \left \{ y \left ( x \right ) ={\frac {1}{2\,x}\sqrt [3]{-2\, \left ( {x}^{2}-4\,{\it \_C1} \right ) {x}^{2}}},y \left ( x \right ) ={\frac {-1+i\sqrt {3}}{4\,x}\sqrt [3]{-2\, \left ( {x}^{2}-4\,{\it \_C1} \right ) {x}^{2}}},y \left ( x \right ) =-{\frac {1+i\sqrt {3}}{4\,x}\sqrt [3]{-2\, \left ( {x}^{2}-4\,{\it \_C1} \right ) {x}^{2}}} \right \} \]