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