\[
\boxed{
 \left( a{x}^{2}+bx+c \right) ^{3/2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) -F \left( {\frac {y \left( x \right) }{\sqrt {a{x}^{2}+bx+c}}} \right) =0}
\]