4. Solve the following boundary value and initial value problem for wave equation Utt-c²Uzz = 0, 0 0 U(0, t) = 0, U(π, t) = 0 U(x,0) = = b sin x + 2b sin(2x), U₁(x, 0) = sin x
4. Solve the following boundary value and initial value problem for wave equation Utt-c²Uzz = 0, 0 0 U(0, t) = 0, U(π, t) = 0 U(x,0) = = b sin x + 2b sin(2x), U₁(x, 0) = sin x
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:4. Solve the following boundary value and initial value problem for wave equation
Utt- c²Uxx = 0, 0 < x <n, t > 0
U (0, t) = 0, U(T, t) = 0
U(x, 0) = b sin x + 2b sin(2x), U₁(x, 0) = sin x
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