\[ (y(x)+x-1) y'(x)-y(x)+2 x+3=0 \] ✓ Mathematica : cpu = 0.105227 (sec), leaf count = 78
\[\text {Solve}\left [2 \sqrt {2} \tan ^{-1}\left (\frac {-y(x)+2 x+3}{\sqrt {2} (y(x)+x-1)}\right )=2 \log \left (\frac {6 x^2+3 y(x)^2-10 y(x)+8 x+11}{(3 x+2)^2}\right )+4 \log (3 x+2)+3 c_1,y(x)\right ]\] ✓ Maple : cpu = 0.135 (sec), leaf count = 48
\[ \left \{ y \left ( x \right ) ={\frac {5}{3}}+{\frac { \left ( -3\,x-2 \right ) \sqrt {2}\tan \left ( {\it RootOf} \left ( \sqrt {2}\ln \left ( 2\, \left ( \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}+1 \right ) \left ( 3\,x+2 \right ) ^{2} \right ) +2\,\sqrt {2}{\it \_C1}-2\,{\it \_Z} \right ) \right ) }{3}} \right \} \]