Consider the following initial-value problem for u(x, t), du du = Au XER", dt Əx1 |u(x, 0) = f(x), where f = S(R"). (a) Solve (*) using the Fourier Transform. t> 0,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following initial-value problem for u(x, t),
du
du
dt
· Δι -
XER",
Əx₁
u(x, 0) = f(x),
where f = S(R").
(a) Solve (*) using the Fourier Transform.
t> 0,
Transcribed Image Text:Consider the following initial-value problem for u(x, t), du du dt · Δι - XER", Əx₁ u(x, 0) = f(x), where f = S(R"). (a) Solve (*) using the Fourier Transform. t> 0,
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