\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-{\frac { \left( ap{x}^{b}+q \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{x \left( a{x}^{b}-1 \right) }}-{\frac { \left( ar{x}^{b}+s \right) y \left( x \right) }{{x}^{2} \left( a{x}^{b}-1 \right) }}=0}
\]