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2. Find the series solution of the equation xy" + 2y' + xy = 0 in a form: y(x) = y(x)=(ao )=²(ao c cos x + a₁ sin x), where, X x5 x7 x cos x=1- + +... and sin.x = x- - 2! 4! 5! 7! 6! ... 3! +... ***

2. Find the series solution of the equation xy" + 2y' + xy = 0 in a form: y(x) = y(x)=(ao )=²(ao c cos x + a₁ sin x), where, X x5 x7 x cos x=1- + +... and sin.x = x- - 2! 4! 5! 7! 6! ... 3! +... ***

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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2. Find the series solution of the equation x y" + 2y' + xy = 0 in a form: y(x) =-(ao cos.x +aj sin x), where, x x x 3! 5! 6 cos x =1- 2! and sin x = x- +... ... +... ... 4! 6! 7!
Transcribed Image Text:2. Find the series solution of the equation x y" + 2y' + xy = 0 in a form: y(x) =-(ao cos.x +aj sin x), where, x x x 3! 5! 6 cos x =1- 2! and sin x = x- +... ... +... ... 4! 6! 7!
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