\[
\boxed{
{x}^{2}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left( x \right) - \left( {x}^{4}-6\,x \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) - \left( 2\,{x}^{3}-6 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) +2\,{x}^{2}y \left( x \right) =0}
\]