\[
\boxed{
{x}^{6}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left( x \right) +6\,{x}^{5}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) +ay \left( x \right) =0}
\]