F (ƒ') - {¹(- Ji(- (-5w+4w2), (a) Find an expression for f (w) in terms of unit step functions u w< 4, w/> 4.
F (ƒ') - {¹(- Ji(- (-5w+4w2), (a) Find an expression for f (w) in terms of unit step functions u w< 4, w/> 4.
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:Let
(a) Find an expression for f (w) in terms of unit step functions u.
ƒ(w) -
(b) The inverse Fourier transform of f (w) is
where
F(x)=
and G(z)-
Use I for the imaginary unit i in Mobius.
F (f') = {1(-5w+4w³²), [w/ < 4,
w > 4.
F-¹(f (w))=√(F(z) sin(42) + G(z) cos(4x)},
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