\[ y'(x)=-\frac {216 y(x) \left (-2 y(x)^4-3 y(x)^3-6 y(x)^2-6 y(x)+6 x+6\right )}{216 x^3-216 x^2 y(x)^4-324 x^2 y(x)^3-648 x^2 y(x)^2-648 x^2 y(x)-8 y(x)^{12}-36 y(x)^{11}-126 y(x)^{10}-315 y(x)^9+72 x y(x)^8-18 y(x)^8+216 x y(x)^7+594 y(x)^7+594 x y(x)^6+2484 y(x)^6+1080 x y(x)^5+4428 y(x)^5-432 x y(x)^4+2808 y(x)^4-648 x y(x)^3+1728 y(x)^3-1944 x y(x)^2-1296 y(x)^2-1296 x y(x)-1296 y(x)} \] ✓ Mathematica : cpu = 0.637253 (sec), leaf count = 66
\[\text {Solve}\left [\frac {36 \left (2 y(x)^4+3 y(x)^3+6 y(x)^2+6 y(x)-6 x-3\right )}{\left (y(x) \left (2 y(x)^3+3 y(x)^2+6 y(x)+6\right )-6 x\right )^2}+\log (y(x))=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.678 (sec), leaf count = 181
\[\frac {-6 \sqrt {3 \ln \left (y \relax (x )\right )-3 c_{1}+9}+\left (2 y \relax (x )^{4}+3 y \relax (x )^{3}+6 y \relax (x )^{2}-6 x +6 y \relax (x )\right ) \ln \left (y \relax (x )\right )-2 c_{1} y \relax (x )^{4}-3 c_{1} y \relax (x )^{3}-6 c_{1} y \relax (x )^{2}+6 c_{1} x -6 c_{1} y \relax (x )+18}{6 c_{1}-6 \ln \left (y \relax (x )\right )} = 0\]