Let u(x, t) be the solution of the Cauchy problem 9Uxx :0, u(x,0) = f(x) = Find u(0,1). Utt [1 |x|≤ 2, { 0 x > 2, -∞0 ut (x,0) = g(x) = 1 0 x ≤ 2. x > 2.
Let u(x, t) be the solution of the Cauchy problem 9Uxx :0, u(x,0) = f(x) = Find u(0,1). Utt [1 |x|≤ 2, { 0 x > 2, -∞0 ut (x,0) = g(x) = 1 0 x ≤ 2. x > 2.
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:1. Let u(x, t) be the solution of the Cauchy problem
-9uxx = 0,
u(x, 0)= f(x) =
Find u(0, 1).
Utt
{}
1 x ≤ 2,
|xc| > 2,
-∞ < x <∞,
ut (x, 0) = g(x) =
t> 0
{!
1 |x| ≤ 2.
0 x > 2.
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