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