\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-{\frac { \left( a \left( b+2 \right) {x}^{2}+ \left( c-d+1 \right) x \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{ \left( ax+1 \right) {x}^{2}}}-{\frac { \left( abx-cd \right) y \left( x \right) }{ \left( ax+1 \right) {x}^{2}}}=0}
\]