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