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