Solution Found!
Solution: In each of 33 through 37, use the results of to determine whether the point at
Chapter 5, Problem 35(choose chapter or problem)
In each of 33 through 37, use the results of to determine whether the point at infinity is an ordinary point, a regular singular point, or an irregular singular point of the given differential equation. (1 x2) y__ 2xy_ + ( + 1) y = 0 (Legendre equation)
Questions & Answers
QUESTION:
In each of 33 through 37, use the results of to determine whether the point at infinity is an ordinary point, a regular singular point, or an irregular singular point of the given differential equation. (1 x2) y__ 2xy_ + ( + 1) y = 0 (Legendre equation)
ANSWER:Step 1 of 3
We need to determine if the point at infinity is an ordinary point, a regular singular point, or an irregular singular point of the differential equation:
First we need to substitute 
Now substituted differential equation will be:
Where,
From equation(1) we have,
Hence, we will get:
