\[ y'(x)-f(a x+b y(x))=0 \] ✓ Mathematica : cpu = 10.7977 (sec), leaf count = 244
\[\text {Solve}\left [\int _1^{y(x)} -\frac {b f(b K[2]+a x) \left (\int _1^x \left (\frac {b^2 f'(a K[1]+b K[2])}{b f(a K[1]+b K[2])+a}-\frac {b^3 f(a K[1]+b K[2]) f'(a K[1]+b K[2])}{(b f(a K[1]+b K[2])+a)^2}\right ) \, dK[1]\right )+a \int _1^x \left (\frac {b^2 f'(a K[1]+b K[2])}{b f(a K[1]+b K[2])+a}-\frac {b^3 f(a K[1]+b K[2]) f'(a K[1]+b K[2])}{(b f(a K[1]+b K[2])+a)^2}\right ) \, dK[1]+b}{b f(b K[2]+a x)+a} \, dK[2]+\int _1^x \frac {b f(a K[1]+b y(x))}{b f(a K[1]+b y(x))+a} \, dK[1]=c_1,y(x)\right ]\] ✓ Maple : cpu = 0.046 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={\frac {{\it RootOf} \left ( \int ^{{\it \_Z}}\! \left ( f \left ( {\it \_a}\,b \right ) b+a \right ) ^{-1}{d{\it \_a}}b-x+{\it \_C1} \right ) b-ax}{b}} \right \} \]