Let u(x) be a solution of the differential equation Tu" (x) + u'(x) = f(x). If û(q) is the Fourier transform of u(x) and f(q) the Fourier transform of f(x), which of the equations below is correct? Select one: Oa (q) = Ob. (q) = OC(q) = ja -4 ju ¹+4 j(q) 74²+4

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let u(x) be a solution of the differential equation
Tu" (x) + u'(x) = f(x).
If û(q) is the Fourier transform of u(x) and f(q) the Fourier transform of f(x), which of the equations
below is correct?
Select one:
Oa. û(q) =
Ob. (q) =
OC(q) =
j(q)
-7iq
j (4)
74²+iq
j(q)
74²+4
Transcribed Image Text:Let u(x) be a solution of the differential equation Tu" (x) + u'(x) = f(x). If û(q) is the Fourier transform of u(x) and f(q) the Fourier transform of f(x), which of the equations below is correct? Select one: Oa. û(q) = Ob. (q) = OC(q) = j(q) -7iq j (4) 74²+iq j(q) 74²+4
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