\[ \boxed { x \left ( y \left ( x \right ) +x \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +x \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( x-y \left ( x \right ) \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -y \left ( x \right ) =0} \]
Mathematica: cpu = 0.113014 (sec), leaf count = 87 \[ \left \{\left \{y(x)\to -x-\sqrt {-e^{2 c_2} x^2-2 i c_1 x^2+e^{2 c_2}+x^2}\right \},\left \{y(x)\to -x+\sqrt {-e^{2 c_2} x^2-2 i c_1 x^2+e^{2 c_2}+x^2}\right \}\right \} \]
Maple: cpu = 1.544 (sec), leaf count = 43 \[ \left \{ y \left ( x \right ) =-x-\sqrt {-{\it \_C2}\,{x}^{2}+{x}^{2}+{ \it \_C1}},y \left ( x \right ) =-x+\sqrt {-{\it \_C2}\,{x}^{2}+{x}^{2}+ {\it \_C1}} \right \} \]