\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-1/2\,{\frac { \left( 3\,x-1 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{x \left( x-1 \right) }}+1/4\,{\frac {v \left( v+1 \right) y \left( x \right) }{{x}^{2}}}=0}
\]