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