\[ \boxed { ax \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+ \left ( bx-ay \left ( x \right ) +c \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -by \left ( x \right ) =0} \]
Mathematica: cpu = 0 (sec), leaf count = 0 \[ \text {Hanged} \]
Maple: cpu = 0.546 (sec), leaf count = 85 \[ \left \{ y \left ( x \right ) ={\frac {1}{a} \left ( -bx+c-2\,\sqrt {-bcx } \right ) },y \left ( x \right ) ={\frac {1}{a} \left ( -bx+c+2\,\sqrt {- bcx} \right ) },y \left ( x \right ) =-{\frac { \left ( a{{\it \_C1}}^{2}+ {\it \_C1}\,b \right ) x}{-{\it \_C1}\,a-b}}-{\frac {c{\it \_C1}}{-{ \it \_C1}\,a-b}} \right \} \]