Solve the following IBVP using appropriate extensions of the functions o and w: x > 0, t>0, u(x, 0) = 0(x) =x² + x, x20, u(x, 0) = v(x) = 1 – 2.x, x > 0, Uz (0, t) = 0, t> 0. Utt = Ur, %3D %3D %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6. Solve the following IBVP using appropriate extensions of the functions o and v:
x > 0, t> 0,
u(x, 0) = 0(x) = x² + x, x > 0,
Ut(x, 0) = (x) = 1 – 2x, x> 0,
Uz(0, t) = 0, t > 0.
Utt = UTr,
-
Transcribed Image Text:6. Solve the following IBVP using appropriate extensions of the functions o and v: x > 0, t> 0, u(x, 0) = 0(x) = x² + x, x > 0, Ut(x, 0) = (x) = 1 – 2x, x> 0, Uz(0, t) = 0, t > 0. Utt = UTr, -
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