\[ \boxed { \left ( Bxy \left ( x \right ) +A{x}^{2}+ax+by \left ( x \right ) +c \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -B \left ( g \left ( x \right ) \right ) ^{2}+Axy \left ( x \right ) +\alpha \,x+\beta \,y \left ( x \right ) +\gamma =0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 5.741 (sec), leaf count = 0 \[ \text {could not solve} \]