\[ y'(x)=\frac {1}{2} x^2 \left (2 \sqrt {x^3-6 y(x)}+1\right ) \] ✓ Mathematica : cpu = 0.195288 (sec), leaf count = 38
\[\left \{\left \{y(x)\to \frac {1}{96} \left (-16 x^6+8 x^3-192 c_1 x^3-1-576 c_1{}^2-48 c_1\right )\right \}\right \}\] ✓ Maple : cpu = 0.275 (sec), leaf count = 23
\[c_{1}-x^{3}-\frac {1}{2}-\sqrt {x^{3}-6 y \relax (x )} = 0\]