\[ (2 y(x)+x+1) y'(x)-2 y(x)-x+1=0 \] ✓ Mathematica : cpu = 0.0181474 (sec), leaf count = 35
\[\left \{\left \{y(x)\to \frac {1}{2} (-x-1)+\frac {2}{3} \left (1+W\left (-e^{\frac {9 x}{4}-1+c_1}\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.046 (sec), leaf count = 21
\[ \left \{ y \left ( x \right ) =-{\frac {x}{2}}+{\frac {2}{3}{\it lambertW} \left ( {\frac {{{\rm e}^{-{\frac {1}{4}}}}{\it \_C1}}{4}{{\rm e}^{{\frac {9\,x}{4}}}}} \right ) }+{\frac {1}{6}} \right \} \]