\[ \left (3 x y(x)^2-x^2\right ) y'(x)+y(x)^3-2 x y(x)=0 \] ✓ Mathematica : cpu = 0.140321 (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 = 0.233 (sec), leaf count = 276
\[\left \{y \left (x \right ) = -\frac {12^{\frac {2}{3}} \left (12 x^{3}+\left (-12 i x^{3}+i \left (\left (108 c_{1}+12 \sqrt {-12 x^{5}+81 c_{1}^{2}}\right ) x^{2}\right )^{\frac {2}{3}}\right ) \sqrt {3}+\left (\left (108 c_{1}+12 \sqrt {-12 x^{5}+81 c_{1}^{2}}\right ) x^{2}\right )^{\frac {2}{3}}\right )}{144 \left (\left (9 c_{1}+\sqrt {-12 x^{5}+81 c_{1}^{2}}\right ) x^{2}\right )^{\frac {1}{3}} x}, y \left (x \right ) = \frac {\left (-12 i \sqrt {3}\, x^{3}-12 x^{3}+i \sqrt {3}\, \left (\left (108 c_{1}+12 \sqrt {-12 x^{5}+81 c_{1}^{2}}\right ) x^{2}\right )^{\frac {2}{3}}-\left (\left (108 c_{1}+12 \sqrt {-12 x^{5}+81 c_{1}^{2}}\right ) x^{2}\right )^{\frac {2}{3}}\right ) 12^{\frac {2}{3}}}{144 \left (\left (9 c_{1}+\sqrt {-12 x^{5}+81 c_{1}^{2}}\right ) x^{2}\right )^{\frac {1}{3}} x}, y \left (x \right ) = \frac {2 x^{2}}{\left (\left (108 c_{1}+12 \sqrt {-12 x^{5}+81 c_{1}^{2}}\right ) x^{2}\right )^{\frac {1}{3}}}+\frac {\left (\left (108 c_{1}+12 \sqrt {-12 x^{5}+81 c_{1}^{2}}\right ) x^{2}\right )^{\frac {1}{3}}}{6 x}\right \}\]