ODE No. 399

$$2y^{\prime }(x{)}^2+(x-1)y^{\prime }(x)-y(x)=0$$ ✓ 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]
 

$$\left\{\{y(x)\to c_{1}x+2c_1{}^2-c_1\}\right\}$$ ✓ 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))
 

$$y\left(x\right)=-\frac{{(x-1)}^2}{8}$$