\[ \left (3 x y(x)^2-x^2\right ) y'(x)+y(x)^3-2 x y(x)=0 \] ✓ Mathematica : cpu = 0.119808 (sec), leaf count = 371
\[\left \{\left \{y(x)\to -\frac {\sqrt [3]{\frac {2}{3}} x^2}{\sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {-4 x^9+27 c_1{}^2 x^4}}}-\frac {\sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {-4 x^9+27 c_1{}^2 x^4}}}{\sqrt [3]{2} 3^{2/3} x}\right \},\left \{y(x)\to \frac {\left (1+i \sqrt {3}\right ) x^2}{2^{2/3} \sqrt [3]{3} \sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {-4 x^9+27 c_1{}^2 x^4}}}+\frac {\left (1-i \sqrt {3}\right ) \sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {-4 x^9+27 c_1{}^2 x^4}}}{2 \sqrt [3]{2} 3^{2/3} x}\right \},\left \{y(x)\to \frac {\left (1-i \sqrt {3}\right ) x^2}{2^{2/3} \sqrt [3]{3} \sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {-4 x^9+27 c_1{}^2 x^4}}}+\frac {\left (1+i \sqrt {3}\right ) \sqrt [3]{9 c_1 x^2+\sqrt {3} \sqrt {-4 x^9+27 c_1{}^2 x^4}}}{2 \sqrt [3]{2} 3^{2/3} x}\right \}\right \}\] ✓ Maple : cpu = 0.204 (sec), leaf count = 276
\[y \relax (x ) = \frac {\left (\left (12 \sqrt {-12 x^{5}+81 c_{1}^{2}}+108 c_{1}\right ) x^{2}\right )^{\frac {1}{3}}}{6 x}+\frac {2 x^{2}}{\left (\left (12 \sqrt {-12 x^{5}+81 c_{1}^{2}}+108 c_{1}\right ) x^{2}\right )^{\frac {1}{3}}}\]