\[
\boxed{
 \left( y \left( x \right)  \right) ^{m}{x}^{n} \left( ax{\frac {\rm d}{{\rm d}x}}y \left( x \right) +by \left( x \right)  \right) +\alpha\,x{\frac {\rm d}{{\rm d}x}}y \left( x \right) +\beta\,y \left( x \right) =0}
\]