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