\[ (a x+b) y'(x)-a y(x)+c+y'(x)^2=0 \] ✓ Mathematica : cpu = 0.0045838 (sec), leaf count = 24
DSolve[c - a*y[x] + (b + a*x)*Derivative[1][y][x] + Derivative[1][y][x]^2 == 0,y[x],x]
\[\left \{\left \{y(x)\to \frac {b c_1+c+c_1{}^2}{a}+c_1 x\right \}\right \}\] ✓ Maple : cpu = 0.03 (sec), leaf count = 50
dsolve(diff(y(x),x)^2+(a*x+b)*diff(y(x),x)-a*y(x)+c = 0,y(x))
\[y \left (x \right ) = \frac {-a^{2} x^{2}-2 a b x -b^{2}+4 c}{4 a}\]