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