\[ y'(x)=-\frac {216 y(x)}{36 x^2+4 y(x)^8+12 y(x)^7+33 y(x)^6+60 y(x)^5-24 x y(x)^4-216 y(x)^4-36 x y(x)^3-252 y(x)^3-72 x y(x)^2-396 y(x)^2-72 x y(x)-216 y(x)} \] ✓ Mathematica : cpu = 0.654306 (sec), leaf count = 39
\[\text {Solve}\left [\frac {36}{y(x) \left (2 y(x)^3+3 y(x)^2+6 y(x)+6\right )-6 x}+\log (y(x))=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.314 (sec), leaf count = 68
\[y \relax (x ) = {\mathrm e}^{\RootOf \left (-12 c_{1} {\mathrm e}^{4 \textit {\_Z}}-2 \,{\mathrm e}^{4 \textit {\_Z}} \textit {\_Z} -18 c_{1} {\mathrm e}^{3 \textit {\_Z}}-3 \,{\mathrm e}^{3 \textit {\_Z}} \textit {\_Z} -36 c_{1} {\mathrm e}^{2 \textit {\_Z}}-6 \,{\mathrm e}^{2 \textit {\_Z}} \textit {\_Z} -36 c_{1} {\mathrm e}^{\textit {\_Z}}-6 \textit {\_Z} \,{\mathrm e}^{\textit {\_Z}}+36 c_{1} x +6 \textit {\_Z} x -36\right )}\]