\[ (y(x)+x) y''(x)+y'(x)^2-y'(x)=0 \] ✓ Mathematica : cpu = 0.695624 (sec), leaf count = 130
\[\left \{\left \{y(x)\to \frac {1}{2} \left (2 x-\sqrt {2} e^{-2 c_1} \sqrt {4 e^{3 c_1} x+e^{2 c_1}+4 e^{3 c_1} c_2}+e^{-c_1}+4 c_2\right )\right \},\left \{y(x)\to \frac {1}{2} \left (2 x+\sqrt {2} e^{-2 c_1} \sqrt {4 e^{3 c_1} x+e^{2 c_1}+4 e^{3 c_1} c_2}+e^{-c_1}+4 c_2\right )\right \}\right \}\] ✓ Maple : cpu = 0.976 (sec), leaf count = 16
\[y \relax (x ) = \sqrt {c_{1}+2 x}\, c_{2}+c_{1}+x\]