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