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Write down the d'Alembert's formula for the following Cauchy problem of wave 11. equation without proof: Jutt = a²uxx, [u(x,0) = (x), u₁(x,0) = y(x), x € R. xER, te R,

Write down the d'Alembert's formula for the following Cauchy problem of wave 11. equation without proof: Jutt = a²uxx, [u(x,0) = (x), u₁(x,0) = y(x), x € R. xER, te R,

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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11. (i) Write down the d'Alembert's formula for the following Cauchy problem of wave equation without proof: utt = a²uxx, [u(x,0) = p(x), u₁(x,0)= y(x), x≤R. xER, tER,
Transcribed Image Text:11. (i) Write down the d'Alembert's formula for the following Cauchy problem of wave equation without proof: utt = a²uxx, [u(x,0) = p(x), u₁(x,0)= y(x), x≤R. xER, tER,
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