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would be X(x) Here, the solution for the spatial part of the wave equation Csinh kx + D cosh kæ. Apply the boundary conditions X(0) = 0 and X(L) = 0, and show that the only way to satisfy them is if - C=D=0. =

would be X(x) Here, the solution for the spatial part of the wave equation Csinh kx + D cosh kæ. Apply the boundary conditions X(0) = 0 and X(L) = 0, and show that the only way to satisfy them is if - C=D=0. =

Advanced Engineering Mathematics
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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Here, the solution for the spatial part of the wave equation would be \( X(x) = C \sinh kx + D \cosh kx \). Apply the boundary conditions \( X(0) = 0 \) and \( X(L) = 0 \), and show that the only way to satisfy them is if \( C = D = 0 \).
Transcribed Image Text:Here, the solution for the spatial part of the wave equation would be \( X(x) = C \sinh kx + D \cosh kx \). Apply the boundary conditions \( X(0) = 0 \) and \( X(L) = 0 \), and show that the only way to satisfy them is if \( C = D = 0 \).
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