1A. Obtain the Fourier series of f(x) = ex, x = (0,2π), f(x+2) = f(x) Vx. Obtain the half range cosine series of f(x) = x, x = (0,2) 1B. 2A. 2B. Find the Fourier cosine transform of ex and hence find the sine transform of X 1+x² Find the Fourier transform of f(x) = evaluate sint-tcost 0 -dt. a²-x, 0, x≤a |x|> a and hence
1A. Obtain the Fourier series of f(x) = ex, x = (0,2π), f(x+2) = f(x) Vx. Obtain the half range cosine series of f(x) = x, x = (0,2) 1B. 2A. 2B. Find the Fourier cosine transform of ex and hence find the sine transform of X 1+x² Find the Fourier transform of f(x) = evaluate sint-tcost 0 -dt. a²-x, 0, x≤a |x|> a and hence
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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Transcribed Image Text:1A. Obtain the Fourier series of f(x) = ex, x = (0,2π), f(x+2) = f(x) Vx.
Obtain the half range cosine series of f(x) = x, x = (0,2)
1B.
2A.
2B.
Find the Fourier cosine transform of ex and hence find the sine transform
of
X
1+x²
Find the Fourier transform of
evaluate sint-tcost
0
-dt.
f(x) =
a²-x,
0²
0,
x≤ a
|x|> a
and hence
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