\[
\boxed{
{x}^{2} \left( {x}^{4}+2\,{x}^{2}+2\,x+1 \right) {\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left( x \right) - \left( 2\,{x}^{6}+3\,{x}^{4}-6\,{x}^{2}-6\,x-1 \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) + \left( {x}^{6}-6\,{x}^{3}-15\,{x}^{2}-12\,x-2 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( {x}^{4}+4\,{x}^{3}+8\,{x}^{2}+6\,x+1 \right) y \left( x \right) =0}
\]