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