\[
\boxed{
{\frac {{\rm d}^{5}}{{\rm d}{x}^{5}}}y \left( x \right) +a{x}^{\nu}{\frac {\rm d}{{\rm d}x}}y \left( x \right) +a\nu\,{x}^{\nu-1}y \left( x \right) =0}
\]