\[ \boxed{ {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) -4\,x{\frac {\rm d}{{\rm d}x}}y \left( x \right) +6\,y \left( x \right) -{x}^{4}+{x}^{2}=0} \]