\[ \boxed{ \left( {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) \right) y \left( x \right) +a \left( {\frac {\rm d}{{\rm d}x}}y \left( x \right) \right) ^{2}+by \left( x \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) +c \left( y \left( x \right) \right) ^{2}+d \left( y \left( x \right) \right) ^{1-a}=0} \]