\[ (a x+b) y'(x)-a y(x)+c+y'(x)^2=0 \] ✓ Mathematica : cpu = 2.06615 (sec), leaf count = 183
\[\left \{\left \{y(x)\to \frac {-2 \sqrt {-a^4 e^{2 c_1} x^2-2 a^4 e^{2 c_1} x+a^4 \left (-e^{2 c_1}\right )}+2 a^3 x+a^3-2 a^2 b x-a b^2-a e^{2 c_1}+4 a c}{4 a^2}\right \},\left \{y(x)\to \frac {2 \sqrt {-a^4 e^{2 c_1} x^2-2 a^4 e^{2 c_1} x+a^4 \left (-e^{2 c_1}\right )}+2 a^3 x+a^3-2 a^2 b x-a b^2-a e^{2 c_1}+4 a c}{4 a^2}\right \}\right \}\]
✓ Maple : cpu = 0.026 (sec), leaf count = 50
\[ \left \{ y \left ( x \right ) ={\frac {-{a}^{2}{x}^{2}-2\,abx-{b}^{2}+4\,c}{4\,a}},y \left ( x \right ) ={\it \_C1}\,x+{\frac {{{\it \_C1}}^{2}+{\it \_C1}\,b+c}{a}} \right \} \]