\[ y(x) \left (a^2+\frac {a f'(x)}{f(x)}-b^2 f(x)^2\right )-y'(x) \left (2 a+\frac {f'(x)}{f(x)}\right )+y''(x)=0 \] ✓ Mathematica : cpu = 0.0576106 (sec), leaf count = 49
\[\left \{\left \{y(x)\to c_1 \exp \left (b \int _1^xf(K[1])dK[1]+a x\right )+c_2 \exp \left (a x-b \int _1^xf(K[2])dK[2]\right )\right \}\right \}\] ✓ Maple : cpu = 0.492 (sec), leaf count = 74
\[y \relax (x ) = {\mathrm e}^{\int -\frac {f \relax (x ) {\mathrm e}^{\int -2 b f \relax (x )d x} {\mathrm e}^{2 c_{1} b} b +b f \relax (x )-{\mathrm e}^{\int -2 b f \relax (x )d x} {\mathrm e}^{2 c_{1} b} a +a}{{\mathrm e}^{\int -2 b f \relax (x )d x} {\mathrm e}^{2 c_{1} b}-1}d x} c_{2}\]