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