\[
\boxed{
f \left( {x}^{c}y \left( x \right)  \right)  \left( bx{\frac {\rm d}{{\rm d}x}}y \left( x \right) -a \right) -{x}^{a} \left( y \left( x \right)  \right) ^{b} \left( x{\frac {\rm d}{{\rm d}x}}y \left( x \right) +cy \left( x \right)  \right) =0}
\]