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(a) / e-k?t-ika dk 1 1 2T 2t

(a) / e-k?t-ika dk 1 1 2T 2t

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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10. Prove the following results: (a) -k²t-ikx dk e V27 V2t (b) / = F (k) g (k) eikæ dk | f(4) G (y – x) dy, / F (k) g (k) dk = s (1)G(1) dy, (c) 2 a sin x 1 eax (d) sin x * e-a|x| V п (1+а?)> (e) ea" * X[0,00) (x) = 1 a > 0 , a V27 (f) exp (-) * exp (-) (-xa). 1 V2a еxp 4b V2(a+b) exp 4(a+b) 4a V2b
Transcribed Image Text:10. Prove the following results: (a) -k²t-ikx dk e V27 V2t (b) / = F (k) g (k) eikæ dk | f(4) G (y – x) dy, / F (k) g (k) dk = s (1)G(1) dy, (c) 2 a sin x 1 eax (d) sin x * e-a|x| V п (1+а?)> (e) ea" * X[0,00) (x) = 1 a > 0 , a V27 (f) exp (-) * exp (-) (-xa). 1 V2a еxp 4b V2(a+b) exp 4(a+b) 4a V2b
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