\[ y'(x)=-\frac {1}{216} \sqrt {x} \left (-18 x^6 y(x)+108 x^3 y(x)^2+72 x^3 y(x)+x^9-6 x^6-108 x^{3/2}-216 y(x)^3-216 y(x)^2-216\right ) \] ✓ Mathematica : cpu = 0.225998 (sec), leaf count = 119
\[\text {Solve}\left [-\frac {29}{3} \text {RootSum}\left [-29 \text {$\#$1}^3+3 \sqrt [3]{29} \text {$\#$1}-29\& ,\frac {\log \left (\frac {\frac {1}{2} \left (2 \sqrt {x}-x^{7/2}\right )+3 \sqrt {x} y(x)}{\sqrt [3]{29} \sqrt [3]{x^{3/2}}}-\text {$\#$1}\right )}{\sqrt [3]{29}-29 \text {$\#$1}^2}\& \right ]=\frac {2}{27} 29^{2/3} \sqrt {x} \left (x^{3/2}\right )^{2/3}+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.163 (sec), leaf count = 41
\[ \left \{ y \left ( x \right ) ={\frac {{x}^{3}}{6}}-{\frac {1}{3}}+{\frac {29}{9}{\it RootOf} \left ( 2\,{x}^{3/2}-243\,\int ^{{\it \_Z}}\! \left ( 841\,{{\it \_a}}^{3}-27\,{\it \_a}+27 \right ) ^{-1}{d{\it \_a}}+9\,{\it \_C1} \right ) } \right \} \]