\[ 2 y'(x)^2+(x-1) y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0037386 (sec), leaf count = 20
\[\left \{\left \{y(x)\to c_1 x+2 c_1{}^2-c_1\right \}\right \}\] ✓ Maple : cpu = 0.026 (sec), leaf count = 22
\[\left \{y \left (x \right ) = c_{1} \left (2 c_{1}+x -1\right ), y \left (x \right ) = -\frac {\left (x -1\right )^{2}}{8}\right \}\]