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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
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-
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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