\[ a+(6 y(x)-x)^2 y'(x)-6 y(x)^2+2 x y(x)=0 \] ✓ Mathematica : cpu = 0.208898 (sec), leaf count = 115
\[\left \{\left \{y(x)\to \frac {1}{6} \left (x+\sqrt [3]{-18 a x-x^3+18 c_1}\right )\right \},\left \{y(x)\to \frac {x}{6}-\frac {1}{12} \left (1-i \sqrt {3}\right ) \sqrt [3]{-18 a x-x^3+18 c_1}\right \},\left \{y(x)\to \frac {x}{6}-\frac {1}{12} \left (1+i \sqrt {3}\right ) \sqrt [3]{-18 a x-x^3+18 c_1}\right \}\right \}\] ✓ Maple : cpu = 0.039 (sec), leaf count = 115
\[\left \{y \left (x \right ) = \frac {x}{6}+\frac {\left (-x^{3}-18 a x -18 c_{1}\right )^{\frac {1}{3}}}{6}, y \left (x \right ) = \frac {x}{6}-\frac {\left (-x^{3}-18 a x -18 c_{1}\right )^{\frac {1}{3}}}{12}-\frac {i \sqrt {3}\, \left (-x^{3}-18 a x -18 c_{1}\right )^{\frac {1}{3}}}{12}, y \left (x \right ) = \frac {x}{6}-\frac {\left (-x^{3}-18 a x -18 c_{1}\right )^{\frac {1}{3}}}{12}+\frac {i \sqrt {3}\, \left (-x^{3}-18 a x -18 c_{1}\right )^{\frac {1}{3}}}{12}\right \}\]