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(c) Consider a series solution y(x) = ∞ an(x-2)" to the initial value problem n=0 (²+1)y" + xy = 0, y(2) = y' (2) = 0. The radius of convergence p of the series for y(z) is Answers: (A) p = 1 (B) p = 2 (C) p < √5 (D) p2 √5 (5) Nov

(c) Consider a series solution y(x) = ∞ an(x-2)" to the initial value problem n=0 (²+1)y" + xy = 0, y(2) = y' (2) = 0. The radius of convergence p of the series for y(z) is Answers: (A) p = 1 (B) p = 2 (C) p < √5 (D) p2 √5 (5) Nov

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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(c) Consider a series solution y(x) =an(x-2)" to the initial value problem n=0 (x²+1)y" + xy = 0, y(2) = y(2) = 0. The radius of convergence p of the series for y(x) is Answers: (A) p = 1 (B) p = 2 (C) p < √5 (D) p≥ √5 (E) None of the above..
Transcribed Image Text:(c) Consider a series solution y(x) =an(x-2)" to the initial value problem n=0 (x²+1)y" + xy = 0, y(2) = y(2) = 0. The radius of convergence p of the series for y(x) is Answers: (A) p = 1 (B) p = 2 (C) p < √5 (D) p≥ √5 (E) None of the above..
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