\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) ={\frac { \left( 7\,a{x}^{2}+5 \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{x \left( a{x}^{2}+1 \right) }}-{\frac { \left( 15\,a{x}^{2}+5 \right) y \left( x \right) }{{x}^{2} \left( a{x}^{2}+1 \right) }}=0}
\]