Question#1 Marks 15
Solve the following initial value problem using a power series representation of the solution around. Find the recurrence relation and the first five nonzero terms of the series solution.
Question#2 Marks 15
Suppose the differential equation
- 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