\[
\boxed{
xy \left( x \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) -x \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) ^{2}+y \left( x \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) +x \left( d+a \left( y \left( x \right)  \right) ^{4} \right) +y \left( x \right)  \left( c+b \left( y \left( x \right)  \right) ^{2} \right) =0}
\]