\[ y'(x) (-a y(x)+b x+c)+a x y'(x)^2-b y(x)=0 \] ✗ Mathematica : cpu = 300.014 (sec), leaf count = 0 , timed out
$Aborted
✓ Maple : cpu = 0.128 (sec), leaf count = 66
\[ \left \{ y \left ( x \right ) ={\frac {1}{a} \left ( -bx+c-2\,\sqrt {-bcx} \right ) },y \left ( x \right ) ={\frac {1}{a} \left ( -bx+c+2\,\sqrt {-bcx} \right ) },y \left ( x \right ) ={\frac {{\it \_C1}\, \left ( {\it \_C1}\,ax+bx+c \right ) }{{\it \_C1}\,a+b}} \right \} \]