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