(x-1)(x-4)^2 d^2y/dx^2 + (x-4) dy/dx + (x-1)y = 0

- Find the ordinary points and the singular points of the above differential equation.
- Classify each singular point you find in 1. as a regular singular point or an irregular singular point.
- It is desired to solve this equation using a power series centered at 7. Find the radius of convergence of such a power series. (It is not required to find this power series solution!)