\left(x^4+2 x^2+2 x+1\right) x^2 y^{(3)}(x)-\left(2 x^6+3 x^4-6 x^2-6 x-1\right) y''(x)+\left(x^6-6 x^3-15 x^2-12 x-2\right) y'(x)+\left(x^4+4 x^3+8 x^2+6 x+1\right) y(x)=0