\[ y'(x)=-\frac {1}{216} \sqrt {x} \left (-108 x^{3/2}+x^9-18 x^6 y(x)-6 x^6+108 x^3 y(x)^2+72 x^3 y(x)-216 y(x)^3-216 y(x)^2-216\right ) \] ✓ Mathematica : cpu = 0.245541 (sec), leaf count = 1
\[\{\}\]
✓ Maple : cpu = 0.072 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{3}}{6}}-{\frac {1}{3}}+{\frac {29}{9}{\it RootOf} \left ( 2\,{x}^{3/2}-243\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+9\,{\it \_C1} \right ) } \right \} \]