\[
\boxed{
5\, \left( ax+b \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) +8\,a{\frac {\rm d}{{\rm d}x}}y \left( x \right) +c\sqrt [5]{ax+b}y \left( x \right) =0}
\]