\[ y'(x)=x^3 \sqrt {x^3-6 y(x)}+\sqrt {x^3-6 y(x)}+\frac {x^2}{2}+x^2 \sqrt {x^3-6 y(x)} \] ✓ Mathematica : cpu = 0.322621 (sec), leaf count = 70
\[\left \{\left \{y(x)\to \frac {1}{96} \left (72 c_1 x^4+96 c_1 x^3+288 c_1 x-144 c_1^2-9 x^8-24 x^7-16 x^6-72 x^5-96 x^4+16 x^3-144 x^2\right )\right \}\right \}\]
✓ Maple : cpu = 0.483 (sec), leaf count = 32
\[ \left \{ -{\frac {1}{3}\sqrt {{x}^{3}-6\,y \left ( x \right ) }}-{\frac {{x}^{4}}{4}}-{\frac {{x}^{3}}{3}}-x-{\it \_C1}=0 \right \} \]