\[ (a x+b) y'(x)-a y(x)+c+y'(x)^2=0 \] ✓ Mathematica : cpu = 0.0049734 (sec), leaf count = 24
\[\left \{\left \{y(x)\to \frac {b c_1+c+c_1{}^2}{a}+c_1 x\right \}\right \}\] ✓ Maple : cpu = 0.03 (sec), leaf count = 50
\[\left \{y \left (x \right ) = \frac {c_{1}^{2}+c_{1} \left (a x +b \right )+c}{a}, y \left (x \right ) = \frac {-a^{2} x^{2}-2 a b x -b^{2}+4 c}{4 a}\right \}\]