\[ y'(x)=x^3 \sqrt {x^3-6 y(x)}+\sqrt {x^3-6 y(x)}+\frac {x^2}{2}+x^2 \sqrt {x^3-6 y(x)} \] ✓ Mathematica : cpu = 0.328669 (sec), leaf count = 76
\[\left \{\left \{y(x)\to \left (\frac {3 c_1}{4}-1\right ) x^4+\left (c_1+\frac {1}{6}\right ) x^3+3 c_1 x-\frac {3 c_1^2}{2}-\frac {3 x^8}{32}-\frac {x^7}{4}-\frac {x^6}{6}-\frac {3 x^5}{4}-\frac {3 x^2}{2}\right \}\right \}\]
✓ Maple : cpu = 0.483 (sec), leaf count = 32
\[ \left \{ -{\frac {1}{3}\sqrt {{x}^{3}-6\,y \left ( x \right ) }}-{\frac {{x}^{4}}{4}}-{\frac {{x}^{3}}{3}}-x-{\it \_C1}=0 \right \} \]