y''(x) \left(-6 x (\text{a1}+\text{a2}+\text{a3})+3 \text{a1} \text{a2}+3 \text{a1} \text{a3}+3 \text{a2} \text{a3}+9 x^2\right)+2 (x-\text{a1}) (x-\text{a2}) (x-\text{a3}) y^{(3)}(x)-2 \left(b+\left(n^2+n-3\right) x\right) y'(x)-n (n+1) y(x)=0