\[
\boxed{
{x}^{4}{\it d4y} \left( x \right) +4\,{x}^{3}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left( x \right) - \left( 4\,{n}^{2}-1 \right) {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) + \left( 4\,{n}^{2}-1 \right) x{\frac {\rm d}{{\rm d}x}}y \left( x \right) -4\,y \left( x \right) {x}^{4}=0}
\]