ODE No. 384

\[ (a x+b) y'(x)-a y(x)+c+y'(x)^2=0 \]

✓ Mathematica : cpu = 0.0067863 (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 = 0.028 (sec), leaf count = 50

dsolve(diff(y(x),x)^2+(a*x+b)*diff(y(x),x)-a*y(x)+c = 0,y(x))

\[y \left (x \right ) = \frac {-a^{2} x^{2}-2 a b x -b^{2}+4 c}{4 a}\]