\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-{\frac { \left(  \left( a+1 \right) x-1 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{x \left( x-1 \right) }}-1/4\,{\frac { \left(  \left( {a}^{2}-{b}^{2} \right) x+{c}^{2} \right) y \left( x \right) }{{x}^{2} \left( x-1 \right) }}=0}
\]