\[ y'(x)=-\frac {1}{216} \sqrt {x} \left (-108 x^{3/2}+x^9-18 x^6 y(x)-6 x^6+108 x^3 y(x)^2+72 x^3 y(x)-216 y(x)^3-216 y(x)^2-216\right ) \] ✓ Mathematica : cpu = 0.102746 (sec), leaf count = 106
\[\text {Solve}\left [261 \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (-\text {$\#$1}-\frac {\sqrt {x} \left (x^3-6 y(x)-2\right )}{2 \sqrt [3]{29} \sqrt [3]{x^{3/2}}}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]+27 c_1+2\ 29^{2/3} \sqrt {x} \left (x^{3/2}\right )^{2/3}=0,y(x)\right ]\]
✓ Maple : cpu = 0.062 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{3}}{6}}-{\frac {1}{3}}+{\frac {29}{9}{\it RootOf} \left ( 2\,{x}^{3/2}-243\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+9\,{\it \_C1} \right ) } \right \} \]