\[
\boxed{
{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) =-{\frac { \left( {x}^{2} \left(  \left( {x}^{2}-{\it a1} \right)  \left( {x}^{2}-{\it a2} \right) + \left( {x}^{2}-{\it a2} \right)  \left( {x}^{2}-{\it a3} \right) + \left( {x}^{2}-{\it a3} \right)  \left( {x}^{2}-{\it a1} \right)  \right) - \left( {x}^{2}-{\it a1} \right)  \left( {x}^{2}-{\it a2} \right)  \left( {x}^{2}-{\it a3} \right)  \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) }{x \left( {x}^{2}-{\it a1} \right)  \left( {x}^{2}-{\it a2} \right)  \left( {x}^{2}-{\it a3} \right) }}-{\frac { \left( A{x}^{2}+B \right) y \left( x \right) }{x \left( {x}^{2}-{\it a1} \right)  \left( {x}^{2}-{\it a2} \right)  \left( {x}^{2}-{\it a3} \right) }}=0}
\]