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