\[ y'(x)=\frac {\sqrt {x} \left (-108 x^{3/2} y(x)+18 x^{9/2}-108 x^{3/2}+x^9-18 x^6 y(x)+108 x^3 y(x)^2-216 y(x)^3\right )}{36 x^3-216 y(x)-216} \] ✓ Mathematica : cpu = 0.0314452 (sec), leaf count = 65
\[\left \{\left \{y(x)\to \frac {x^3}{6}-\frac {216}{\sqrt {c_1-62208 x^{3/2}}+216}\right \},\left \{y(x)\to \frac {216}{\sqrt {c_1-62208 x^{3/2}}-216}+\frac {x^3}{6}\right \}\right \}\]
✓ Maple : cpu = 0.085 (sec), leaf count = 87
\[ \left \{ y \left ( x \right ) ={1 \left ( \sqrt {9\,{\it \_C1}-12\,{x}^{3/2}}{x}^{3}-3\,{x}^{3}+18 \right ) \left ( 6\,\sqrt {9\,{\it \_C1}-12\,{x}^{3/2}}-18 \right ) ^{-1}},y \left ( x \right ) ={1 \left ( \sqrt {9\,{\it \_C1}-12\,{x}^{3/2}}{x}^{3}+3\,{x}^{3}-18 \right ) \left ( 6\,\sqrt {9\,{\it \_C1}-12\,{x}^{3/2}}+18 \right ) ^{-1}} \right \} \]