\[ y'(x)=x^3 \sqrt {x^3-6 y(x)}+x^2 \sqrt {x^3-6 y(x)}+\sqrt {x^3-6 y(x)}+\frac {x^2}{2} \] ✓ Mathematica : cpu = 0.367157 (sec), leaf count = 78
\[\left \{\left \{y(x)\to \frac {1}{96} \left (-9 x^8-24 x^7-16 x^6-72 x^5-102 x^4+8 x^3-144 x^2+72 c_1 x^4+96 c_1 x^3-24 x+288 c_1 x-1-144 c_1{}^2+24 c_1\right )\right \}\right \}\] ✓ Maple : cpu = 0.476 (sec), leaf count = 30
\[ \left \{ {\it \_C1}-{\frac {3\,{x}^{4}}{4}}-{x}^{3}-3\,x-\sqrt {{x}^{3}-6\,y \left ( x \right ) }=0 \right \} \]