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Prove that Define functions f(x) and g(x) as follows: I 2 f(x) = ²/7/17 √ ² e-ºdt, S 0 L {f(t)} 2 g(x) = 7²/17 *° e² √T g(s/2) s2/4 S e-t² dt

Prove that Define functions f(x) and g(x) as follows: I 2 f(x) = ²/7/17 √ ² e-ºdt, S 0 L {f(t)} 2 g(x) = 7²/17 *° e² √T g(s/2) s2/4 S e-t² dt

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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Prove that Define functions f(x) and g(x) as follows: 2 2 f(x) = ²dt, - g(x) = FS²0-²²₂ √√π g(s/2) es²/4 L {f(t)} S = S e-t² dt
Transcribed Image Text:Prove that Define functions f(x) and g(x) as follows: 2 2 f(x) = ²dt, - g(x) = FS²0-²²₂ √√π g(s/2) es²/4 L {f(t)} S = S e-t² dt
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