\[ y'(x) (-a y(x)+b x+c)+a x y'(x)^2-b y(x)=0 \] ✓ Mathematica : cpu = 0.0055729 (sec), leaf count = 22
\[\left \{\left \{y(x)\to \frac {c c_1}{b+a c_1}+c_1 x\right \}\right \}\] ✓ Maple : cpu = 0.075 (sec), leaf count = 66
\[\left \{y \left (x \right ) = \frac {-b x +c -2 \sqrt {-b c x}}{a}, y \left (x \right ) = \frac {-b x +c +2 \sqrt {-b c x}}{a}, y \left (x \right ) = \frac {c_{1} \left (c_{1} a x +b x +c \right )}{c_{1} a +b}\right \}\]