\[ (x+1) y'(x)^2-(y(x)+x) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0049452 (sec), leaf count = 21
\[\left \{\left \{y(x)\to c_1 x+\frac {c_1{}^2}{-1+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.041 (sec), leaf count = 45
\[\left \{y \left (x \right ) = \frac {c_{1} \left (c_{1} x -x +c_{1}\right )}{c_{1}-1}, y \left (x \right ) = x +2-2 \sqrt {x +1}, y \left (x \right ) = x +2+2 \sqrt {x +1}\right \}\]