To obtain two linearly independent solutions to (a) Verify
Chapter 8, Problem 26E(choose chapter or problem)
To obtain two linearly independent solutions to (a) Verify that (46) has a regular singular point at x = 0 and that the associated indicial equation has complex roots ±i.(b) As discussed in Section 8.5, we can express (d) Setting the coefficients of like powers equal to zero, derive the recurrence relation (e) Taking a0 = 1, compute the coefficients a1 and a2 and thereby obtain the first few terms of a complex solution to (46).(f) By computing the real and imaginary parts of the solution obtained in part (e), derive the following linearly independent real solutions to (46):
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer