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