\[ y'(x)=\frac {1}{3} x \left (3 x \sqrt {x^2+3 y(x)}-2\right ) \] ✓ Mathematica : cpu = 0.230038 (sec), leaf count = 31
\[\left \{\left \{y(x)\to \frac {1}{12} \left (x^6-6 c_1 x^3-4 x^2+9 c_1{}^2\right )\right \}\right \}\] ✓ Maple : cpu = 0.24 (sec), leaf count = 22
\[\left \{\frac {x^{3}}{2}+c_{1}-\sqrt {x^{2}+3 y \left (x \right )} = 0\right \}\]