\[
\boxed{
 \left( {x}^{2}-1 \right) ^{2}{\it d4y} \left( x \right) +10\,x \left( {x}^{2}-1 \right) {\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left( x \right) + \left( 24\,{x}^{2}-8-2\, \left( \mu\, \left( \mu+1 \right) +\nu\, \left( \nu+1 \right)  \right)  \left( {x}^{2}-1 \right)  \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) -6\,x \left( \mu\, \left( \mu+1 \right) +\nu\, \left( \nu+1 \right) -2 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left(  \left( \mu\, \left( \mu+1 \right) -\nu\, \left( \nu+1 \right)  \right) ^{2}-2\,\mu\, \left( \mu+1 \right) -2\,\nu\, \left( \nu+1 \right)  \right) y \left( x \right) =0}
\]