(b) Find the Fourier integral of the function f(x)=e** when x>0 and f(-x) = -f(x) for k>0 sin and hence prove that [ 251 2² d² = — _e¹", k > 0. π -kx е *, k² 2 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(b) Find the Fourier integral of the function f(x)=e** when x>0 and f(-x) = -f(x) for k>0
sin
and hence prove that
[ 251 2² d² = — _e¹", k > 0.
π -kx
е *,
k²
2
0
Transcribed Image Text:(b) Find the Fourier integral of the function f(x)=e** when x>0 and f(-x) = -f(x) for k>0 sin and hence prove that [ 251 2² d² = — _e¹", k > 0. π -kx е *, k² 2 0
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