\[
\boxed{
{\frac {\rm d}{{\rm d}x}}y \left( x \right) ={\frac {y \left( x \right) +{x}^{3}\ln  \left( x \right) +{x}^{4}+{x}^{3}+7\,x \left( y \left( x \right)  \right) ^{2}\ln  \left( x \right) +7\,{x}^{2} \left( y \left( x \right)  \right) ^{2}+7\,x \left( y \left( x \right)  \right) ^{2}}{x}}=0}
\]