\[ (y(x)+2 x-2) y'(x)-y(x)+x+1=0 \] ✓ Mathematica : cpu = 0.121931 (sec), leaf count = 80
\[\text {Solve}\left [6 \sqrt {3} \tan ^{-1}\left (\frac {4-3 y(x)}{\sqrt {3} (y(x)+2 x-2)}\right )=3 \log \left (\frac {3 x^2+3 y(x)^2+3 (x-3) y(x)-6 x+7}{(1-3 x)^2}\right )+6 \log (3 x-1)+2 c_1,y(x)\right ]\] ✓ Maple : cpu = 0.16 (sec), leaf count = 51
\[ \left \{ y \left ( x \right ) ={\frac {3}{2}}-{\frac {x}{2}}+{\frac {\sqrt {3} \left ( 3\,x-1 \right ) }{6}\tan \left ( {\it RootOf} \left ( \sqrt {3}\ln \left ( {\frac { \left ( 3\, \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}+3 \right ) \left ( 3\,x-1 \right ) ^{2}}{4}} \right ) +2\,\sqrt {3}{\it \_C1}+6\,{\it \_Z} \right ) \right ) } \right \} \]