A2 Use the Fourier Transform Method to find the solution u(x,t) of the initial value problem: ut + tux = 0, with u(x, 0) = f(x), where the function f(x) is given by (1).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A2 Use the Fourier Transform Method to find the solution u(x,t) of the initial value
problem:
ut + tux
=
0,
with u(x, 0) = f(x),
where the function f(x) is given by (1).
Transcribed Image Text:A2 Use the Fourier Transform Method to find the solution u(x,t) of the initial value problem: ut + tux = 0, with u(x, 0) = f(x), where the function f(x) is given by (1).
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