I am trying to find the solution for below ODE for $y(x)$: $$y''+f(x)y=0$$ where $f(x)=\frac{A_4x^4+A_3x^3+A_2x^2+A_1x+A_0}{x^2(B_2x^2+B_1x+B_0)}$. In this equation $A_4, A_3, A_2, A_1, A_0, B_2, B_1, B_0$ are constants. I tried to use Frobenius method but I couldn't solve it. I also checked "Handbook of Exact Solutions for Ordinary Differential Equations", couldn't find anything useful.
I really appreciate your help Let me know if you need more information. Thanks