Solve the following IBVP using appropriate extensions of the functions o and : Utt = Uzz I > 0, t> 0, u(x, 0) = 0(x) = I - 2², r20, u4(r, 0) = v(x) = 1- 2 sin (x), r> 0, u (0, t) = 0, t 0.
Solve the following IBVP using appropriate extensions of the functions o and : Utt = Uzz I > 0, t> 0, u(x, 0) = 0(x) = I - 2², r20, u4(r, 0) = v(x) = 1- 2 sin (x), r> 0, u (0, t) = 0, t 0.
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:6. Solve the following IBVP using appropriate extensions of the functions o and :
x > 0, t>0,
u(x, 0) = 0(x) = x – a², x>0,
u(x, 0) = (x) = 1 – 2 sin?(x),
Uz (0, t) = 0, t > 0.
Utt = Uzr:
x > 0,
%3D
IDVD
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