\[ y'(x)=x^3 \sqrt {x^3-6 y(x)}+\sqrt {x^3-6 y(x)}+\frac {x^2}{2}+x^2 \sqrt {x^3-6 y(x)} \] ✓ Mathematica : cpu = 0.391758 (sec), leaf count = 78
\[\left \{\left \{y(x)\to \frac {1}{96} \left (-9 x^8-24 x^7-16 x^6-72 x^5-102 x^4+72 c_1 x^4+8 x^3+96 c_1 x^3-144 x^2-24 x+288 c_1 x-1-144 c_1{}^2+24 c_1\right )\right \}\right \}\] ✓ Maple : cpu = 0.315 (sec), leaf count = 30
\[c_{1}-\frac {3 x^{4}}{4}-x^{3}-3 x -\sqrt {x^{3}-6 y \relax (x )} = 0\]