\[ x (y(x)+x) y''(x)+x y'(x)^2+(x-y(x)) y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.0388935 (sec), leaf count = 53
\[\left \{\left \{y(x)\to -\sqrt {2 c_2 x^2+c_1+x^2}-x\right \},\left \{y(x)\to \sqrt {2 c_2 x^2+c_1+x^2}-x\right \}\right \}\] ✓ Maple : cpu = 0.04 (sec), leaf count = 43
\[ \left \{ y \left ( x \right ) =-x-\sqrt { \left ( -{\it \_C2}+1 \right ) {x}^{2}+{\it \_C1}},y \left ( x \right ) =-x+\sqrt { \left ( -{\it \_C2}+1 \right ) {x}^{2}+{\it \_C1}} \right \} \]