Consider the transport equation ut 2ux, u(0, x) = f(x), where J cos+1 if |x| < T f (x) = otherwise. Given any t > 0, find the interval I such that u(t, x) # 0 for all x E I

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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My answer came out to be u(0,x)=f(x)=cos(x-2t)/2

Consider the transport equation ut =
2ux, u(0, x) = f (x), where
cos x+1
if |æ| <T
f (x) = •
otherwise.
Given any t > 0, find the interval I such that u(t, x) # 0 for all x E I
Transcribed Image Text:Consider the transport equation ut = 2ux, u(0, x) = f (x), where cos x+1 if |æ| <T f (x) = • otherwise. Given any t > 0, find the interval I such that u(t, x) # 0 for all x E I
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