\[
\boxed{
x{\it d4y} \left( x \right) - \left( 6\,{x}^{2}+1 \right) {\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left( x \right) +12\,{x}^{3}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) - \left( 9\,{x}^{2}-7 \right) {x}^{2}{\frac {\rm d}{{\rm d}x}}y \left( x \right) +2\, \left( {x}^{2}-3 \right) {x}^{3}y \left( x \right) =0}
\]