\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-{\frac { \left( 2\,ax+b \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{x \left( ax+b \right) }}-{\frac { \left( avx-b \right) y \left( x \right) }{ \left( ax+b \right) {x}^{2}}}+Ax=0}
\]