\[ y'(x)=\frac {\sqrt {x^3-6 y(x)}+\frac {x^3}{2}+\frac {x^2}{2}}{x+1} \] ✓ Mathematica : cpu = 0.167127 (sec), leaf count = 35
\[\left \{\left \{y(x)\to \frac {1}{6} \left (18 c_1 \log (x+1)-9 c_1^2+x^3-9 \log ^2(x+1)\right )\right \}\right \}\] ✓ Maple : cpu = 0.297 (sec), leaf count = 23
\[ \left \{ {\it \_C1}-3\,\ln \left ( 1+x \right ) -\sqrt {{x}^{3}-6\,y \left ( x \right ) }=0 \right \} \]