\[ (2 y(x)+x+1) y'(x)-2 y(x)-x+1=0 \] ✓ Mathematica : cpu = 0.0261708 (sec), leaf count = 35
DSolve[1 - x - 2*y[x] + (1 + x + 2*y[x])*Derivative[1][y][x] == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{2} (-x-1)+\frac {2}{3} \left (1+W\left (-e^{\frac {9 x}{4}-1+c_1}\right )\right )\right \}\right \}\] ✓ Maple : cpu = 0.09 (sec), leaf count = 21
dsolve((2*y(x)+x+1)*diff(y(x),x)-2*y(x)-x+1 = 0,y(x))
\[y \left (x \right ) = -\frac {x}{2}+\frac {2 \LambertW \left (\frac {{\mathrm e}^{-\frac {1}{4}} {\mathrm e}^{\frac {9 x}{4}} c_{1}}{4}\right )}{3}+\frac {1}{6}\]