\[ \boxed { \left ( y \left ( x \right ) -2\,x+1 \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) +x=0} \]
Mathematica: cpu = 0.101513 (sec), leaf count = 82 \[ \text {Solve}\left [6 \sqrt {3} \tan ^{-1}\left (\frac {3 y(x)+1}{\sqrt {3} (-y(x)+2 x-1)}\right )=2 c_1+3 \log \left (\frac {3 x^2+3 y(x)^2-3 (x-1) y(x)-3 x+1}{(1-3 x)^2}\right )+6 \log (3 x-1),y(x)\right ] \]
Maple: cpu = 0.125 (sec), leaf count = 68 \[ \left \{ y \left ( x \right ) =-{\frac {1}{2}}+{\frac {x}{2}}-{\frac { \sqrt {3} \left ( 3\,x-1 \right ) }{6}\tan \left ( {\it RootOf} \left ( \sqrt {3}\ln \left ( {\frac {27\,{x}^{2}}{4}}-{\frac {9\,x}{2}}+{ \frac {3}{4}}+{\frac {27\, \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}{x}^{2}}{4}}-{\frac {9\, \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}x}{2}}+{\frac {3\, \left ( \tan \left ( {\it \_Z} \right ) \right ) ^{2}}{4}} \right ) +2\,\sqrt {3}{\it \_C1}+6\,{\it \_Z} \right ) \right ) } \right \} \]