\[ y'(x)=\frac {\sqrt {x} \left (-108 x^{3/2} y(x)+18 x^{9/2}-108 x^{3/2}+x^9-18 x^6 y(x)+108 x^3 y(x)^2-216 y(x)^3\right )}{36 x^3-216 y(x)-216} \] ✓ Mathematica : cpu = 0.214607 (sec), leaf count = 79
\[\left \{\left \{y(x)\to \frac {1}{6} \left (x^3-6\right )-\frac {1}{216 \left (-\frac {1}{216}-\frac {1}{\sqrt {-62208 x^{3/2}+c_1}}\right )}\right \},\left \{y(x)\to \frac {1}{6} \left (x^3-6\right )-\frac {1}{216 \left (-\frac {1}{216}+\frac {1}{\sqrt {-62208 x^{3/2}+c_1}}\right )}\right \}\right \}\] ✓ Maple : cpu = 0.081 (sec), leaf count = 87
\[y \relax (x ) = \frac {\sqrt {9 c_{1}-12 x^{\frac {3}{2}}}\, x^{3}-3 x^{3}+18}{6 \sqrt {9 c_{1}-12 x^{\frac {3}{2}}}-18}\]