\[
\boxed{
 \left( 2\,{x}^{2}+6\,x+4 \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) + \left( 10\,{x}^{2}+21\,x+8 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( 12\,{x}^{2}+17\,x+8 \right) y \left( x \right) =0}
\]