3. Consider the differential equation 0 = (1-x²) y" - xy +9y with solution of the form y = Σ anagn n=0 (a) (b) mial.] Show that the recurrence relation is an +2 = (n²-9) (n+2)(n+1) an, n ≥ 0. Find the solution obeying y(0) = 0, (0) = 1. [Hint: The solution is a polyno-
3. Consider the differential equation 0 = (1-x²) y" - xy +9y with solution of the form y = Σ anagn n=0 (a) (b) mial.] Show that the recurrence relation is an +2 = (n²-9) (n+2)(n+1) an, n ≥ 0. Find the solution obeying y(0) = 0, (0) = 1. [Hint: The solution is a polyno-
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![3. Consider the differential equation 0 = (1-x²) y" - xy +9y with solution of the form y =
Σ ana".
n=0
(a)
(b)
mial.]
Show that the recurrence relation is an +2 =
(n²-9)
(n+2)(n+1)an, n ≥ 0.
Find the solution obeying y(0) = 0, (0) = 1. [Hint: The solution is a polyno-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F165990db-cb96-413d-bb45-ae626708f7e0%2F631682a1-edc6-464a-bdd1-eea01227774d%2Fuus12di_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Consider the differential equation 0 = (1-x²) y" - xy +9y with solution of the form y =
Σ ana".
n=0
(a)
(b)
mial.]
Show that the recurrence relation is an +2 =
(n²-9)
(n+2)(n+1)an, n ≥ 0.
Find the solution obeying y(0) = 0, (0) = 1. [Hint: The solution is a polyno-
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