\[ (x+1) y'(x)^2-(y(x)+x) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0045486 (sec), leaf count = 21
\[\left \{\left \{y(x)\to c_1 x+\frac {c_1{}^2}{-1+c_1}\right \}\right \}\] ✓ Maple : cpu = 0.039 (sec), leaf count = 45
\[y \relax (x ) = x +2-2 \sqrt {1+x}\]