\[ y'(x)=-\frac {216 y(x) \left (-2 y(x)^4-3 y(x)^3-6 y(x)^2-6 y(x)+6 x+6\right )}{216 x^3-216 x^2 y(x)^4-324 x^2 y(x)^3-648 x^2 y(x)^2-648 x^2 y(x)-8 y(x)^{12}-36 y(x)^{11}-126 y(x)^{10}-315 y(x)^9+72 x y(x)^8-18 y(x)^8+216 x y(x)^7+594 y(x)^7+594 x y(x)^6+2484 y(x)^6+1080 x y(x)^5+4428 y(x)^5-432 x y(x)^4+2808 y(x)^4-648 x y(x)^3+1728 y(x)^3-1944 x y(x)^2-1296 y(x)^2-1296 x y(x)-1296 y(x)} \] ✓ Mathematica : cpu = 0.540043 (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 = 0.976 (sec), leaf count = 181
\[ \left \{ {\frac {1}{6\,{\it \_C1}-6\,\ln \left ( y \left ( x \right ) \right ) } \left ( -6\,\sqrt {3\,\ln \left ( y \left ( x \right ) \right ) -3\,{\it \_C1}+9}+ \left ( 2\, \left ( y \left ( x \right ) \right ) ^{4}+3\, \left ( y \left ( x \right ) \right ) ^{3}+6\, \left ( y \left ( x \right ) \right ) ^{2}-6\,x+6\,y \left ( x \right ) \right ) \ln \left ( y \left ( x \right ) \right ) -2\,{\it \_C1}\, \left ( y \left ( x \right ) \right ) ^{4}-3\, \left ( y \left ( x \right ) \right ) ^{3}{\it \_C1}-6\,{\it \_C1}\, \left ( y \left ( x \right ) \right ) ^{2}+6\,{\it \_C1}\,x-6\,{\it \_C1}\,y \left ( x \right ) +18 \right ) }=0,{\frac {1}{6\,{\it \_C1}-6\,\ln \left ( y \left ( x \right ) \right ) } \left ( 6\,\sqrt {3\,\ln \left ( y \left ( x \right ) \right ) -3\,{\it \_C1}+9}+ \left ( 2\, \left ( y \left ( x \right ) \right ) ^{4}+3\, \left ( y \left ( x \right ) \right ) ^{3}+6\, \left ( y \left ( x \right ) \right ) ^{2}-6\,x+6\,y \left ( x \right ) \right ) \ln \left ( y \left ( x \right ) \right ) -2\,{\it \_C1}\, \left ( y \left ( x \right ) \right ) ^{4}-3\, \left ( y \left ( x \right ) \right ) ^{3}{\it \_C1}-6\,{\it \_C1}\, \left ( y \left ( x \right ) \right ) ^{2}+6\,{\it \_C1}\,x-6\,{\it \_C1}\,y \left ( x \right ) +18 \right ) }=0 \right \} \]