\[ (a x+b) y'(x)-a y(x)+c+y'(x)^2=0 \] ✓ Mathematica : cpu = 1.29162 (sec), leaf count = 183
\[\left \{\left \{y(x)\to \frac {-2 a^2 b x-2 \sqrt {-a^4 e^{2 c_1} x^2-2 a^4 e^{2 c_1} x+a^4 \left (-e^{2 c_1}\right )}+2 a^3 x+a^3-a b^2+4 a c-a e^{2 c_1}}{4 a^2}\right \},\left \{y(x)\to \frac {-2 a^2 b x+2 \sqrt {-a^4 e^{2 c_1} x^2-2 a^4 e^{2 c_1} x+a^4 \left (-e^{2 c_1}\right )}+2 a^3 x+a^3-a b^2+4 a c-a e^{2 c_1}}{4 a^2}\right \}\right \}\] ✓ Maple : cpu = 0.022 (sec), leaf count = 50
\[ \left \{ y \left ( x \right ) ={\frac {{{\it \_C1}}^{2}+ \left ( ax+b \right ) {\it \_C1}+c}{a}},y \left ( x \right ) ={\frac {-{a}^{2}{x}^{2}-2\,abx-{b}^{2}+4\,c}{4\,a}} \right \} \]