2.428   ODE No. 428

\[ y'(x) (-a y(x)+b x+c)+a x y'(x)^2-b y(x)=0 \] Mathematica : cpu = 0.0051497 (sec), leaf count = 22


\[\left \{\left \{y(x)\to \frac {c c_1}{b+a c_1}+c_1 x\right \}\right \}\] Maple : cpu = 0.073 (sec), leaf count = 66


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