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