\[ 2 y'(x)^2+(x-1) y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0033501 (sec), leaf count = 20
DSolve[-y[x] + (-1 + x)*Derivative[1][y][x] + 2*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\left \{y(x)\to c_1 x+2 c_1{}^2-c_1\right \}\right \}\] ✓ Maple : cpu = 0.022 (sec), leaf count = 22
dsolve(2*diff(y(x),x)^2+(x-1)*diff(y(x),x)-y(x) = 0,y(x))
\[y \left (x \right ) = -\frac {\left (x -1\right )^{2}}{8}\]