3. Consider the wave equation with =R²U₂ -∞00 Utt === u(x,0) = sin 2x, u(x,0) = sin 3mx. Use d'Alembert's solution method to determine the solution of the above equation.
3. Consider the wave equation with =R²U₂ -∞00 Utt === u(x,0) = sin 2x, u(x,0) = sin 3mx. Use d'Alembert's solution method to determine the solution of the above equation.
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:3.
Consider the wave equation
with
=R²U₂ -∞0<x<∞, t>0
Utt==
u(x,0) = sin 2x, u₁(x,0) = sin 3x.
Use d'Alembert's solution method to determine the solution of the
above equation.
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