\[
\boxed{
 \left( F_{{1,1}} \right)  \left( x \right)  \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right)  \right) ^{2}+ \left(  \left(  \left( F_{{2,1}} \right)  \left( x \right) + \left( F_{{1,2}} \right)  \left( x \right)  \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) +y \left( x \right)  \left(  \left( F_{{1,0}} \right)  \left( x \right) + \left( F_{{0,1}} \right)  \left( x \right)  \right)  \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) + \left( F_{{2,2}} \right)  \left( x \right)  \left( {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right)  \right) ^{2}+y \left( x \right)  \left(  \left( F_{{2,0}} \right)  \left( x \right) + \left( F_{{0,2}} \right)  \left( x \right)  \right) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) + \left( F_{{0,0}} \right)  \left( x \right)  \left( y \left( x \right)  \right) ^{2}=0}
\]