a) The differential equation (x²+4)y" + xy = 0 is solved by the series y = Σan(x-2)".n=0The radius of convergence p of the solution obeysAnswers:(A) p≥ 2√2(B) p = 0(C) p ≤ 2(D) p = 2(E) None of the above.

Answered: Image /qna-images/answer/0b27d710-dcb8-4cf5-9733-a32a7139eb43.jpg

Answered: a) The differential equation (x²+4)y" +…

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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a) The differential equation (x²+4)y" + xy = 0 is solved by the series y = Σan(x-2)". n=0 The radius of convergence p of the solution obeys Answers: (A) p > 2,2 (B) p = 0 (C) p ≤ 2 (D) p = 2 (E) None of the above.