\[ \boxed { \left ( y \left ( x \right ) +g \left ( x \right ) \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{\it f2} \left ( x \right ) \left ( y \left ( x \right ) \right ) ^{2}-{\it f1} \left ( x \right ) y \left ( x \right ) -{\it f0} \left ( x \right ) =0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.873 (sec), leaf count = 0 \[ \text {could not solve} \]