MTH401 Assignment No 4 Spring 2012 solution

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

  1. Find the ordinary points and the singular points of the above differential equation.
  2. Classify each singular point you find in 1. as a regular singular point or an irregular singular point.
  3. 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