\[
\boxed{
{x}^{3}{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left( x \right) +3\, \left( 1-a \right) {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) + \left( 4\,{b}^{2}{c}^{2}{x}^{2\,c+1}+1-4\,{\nu}^{2}{c}^{2}+3\,a \left( a-1 \right) x \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( 4\,{b}^{2}{c}^{2} \left( c-a \right) {x}^{2\,c}+a \left( 4\,{\nu}^{2}{c}^{2}-{a}^{2} \right)  \right) y \left( x \right) =0}
\]