\[
\boxed{
{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left( x \right) -6\,x{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) +2\, \left( 4\,{x}^{2}+2\,a-1 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) -8\,axy \left( x \right) =0}
\]