2.384   ODE No. 384

\[ (a x+b) y'(x)-a y(x)+c+y'(x)^2=0 \] Mathematica : cpu = 0.0045838 (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


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