\[ \left (y(x)^3-x^3\right ) y'(x)-x^2 y(x)=0 \] ✓ Mathematica : cpu = 0.141688 (sec), leaf count = 201
\[\left \{\left \{y(x)\to \sqrt [3]{x^3-\sqrt {x^6-e^{6 c_1}}}\right \},\left \{y(x)\to -\sqrt [3]{-1} \sqrt [3]{x^3-\sqrt {x^6-e^{6 c_1}}}\right \},\left \{y(x)\to (-1)^{2/3} \sqrt [3]{x^3-\sqrt {x^6-e^{6 c_1}}}\right \},\left \{y(x)\to \sqrt [3]{x^3+\sqrt {x^6-e^{6 c_1}}}\right \},\left \{y(x)\to -\sqrt [3]{-1} \sqrt [3]{x^3+\sqrt {x^6-e^{6 c_1}}}\right \},\left \{y(x)\to (-1)^{2/3} \sqrt [3]{x^3+\sqrt {x^6-e^{6 c_1}}}\right \}\right \}\] ✓ Maple : cpu = 0.233 (sec), leaf count = 231
\[y \relax (x ) = \frac {x}{\left (-\left (x^{3} c_{1}-\sqrt {x^{6} c_{1}^{2}+1}\right ) x^{3} c_{1}\right )^{\frac {1}{3}}}\]