ODE No. 399

\[ 2 y'(x)^2+(x-1) y'(x)-y(x)=0 \]

✓ Mathematica : cpu = 0.0090887 (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 = 0.024 (sec), leaf count = 22

dsolve(2*diff(y(x),x)^2+(x-1)*diff(y(x),x)-y(x) = 0,y(x))

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