\[ x^2 y'(x)^2-2 x y(x) y'(x)+y(x) (y(x)+1)-x=0 \] ✓ Mathematica : cpu = 0.0728798 (sec), leaf count = 61
DSolve[-x + y[x]*(1 + y[x]) - 2*x*y[x]*Derivative[1][y][x] + x^2*Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {1}{4} \left (4 x+c_1{}^2 x-4 i c_1 \sqrt {x}-4\right )\right \},\left \{y(x)\to \frac {1}{4} \left (4 x+c_1{}^2 x+4 i c_1 \sqrt {x}-4\right )\right \}\right \}\] ✓ Maple : cpu = 0.246 (sec), leaf count = 22
dsolve(x^2*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)+y(x)*(1+y(x))-x = 0,y(x))
\[y \left (x \right ) = x\]