\[ y'(x)=\frac {x^6+9 x^4 y(x)-6 x^3+27 x^2 y(x)^2-18 x y(x)+27 y(x)^3-18 x}{9 x^2+27 y(x)+27} \] ✓ Mathematica : cpu = 0.1963 (sec), leaf count = 75
\[\left \{\left \{y(x)\to \frac {1}{3} \left (-x^2-3\right )+\frac {1}{27 \left (\frac {1}{27}-\frac {1}{\sqrt {-1458 x+c_1}}\right )}\right \},\left \{y(x)\to \frac {1}{3} \left (-x^2-3\right )+\frac {1}{27 \left (\frac {1}{27}+\frac {1}{\sqrt {-1458 x+c_1}}\right )}\right \}\right \}\] ✓ Maple : cpu = 0.046 (sec), leaf count = 77
\[\left \{y \left (x \right ) = \frac {-2 c_{1} x^{2}+2 x^{3}-3 \sqrt {2 c_{1}-2 x +1}+3}{6 c_{1}-6 x}, y \left (x \right ) = \frac {-2 c_{1} x^{2}+2 x^{3}+3 \sqrt {2 c_{1}-2 x +1}+3}{6 c_{1}-6 x}\right \}\]