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By substituting λ = x + at, Un = a²uxx = 0 → Πλμ μ=x-at 5 show that

By substituting λ = x + at, Un = a²uxx = 0 → Πλμ μ=x-at 5 show that

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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Ff.181.

 

4) By substituting λ = x+at, U₁ = a²uxx ⇒ U₁μ = 0 5) Solve, find the general solution: u₁ = kuxx u' (0,t) = 0, u' (L,t) = 0, u(x,0) = f(x) μ = x - at μ=x-at, show that t> 0 t> 0
Transcribed Image Text:4) By substituting λ = x+at, U₁ = a²uxx ⇒ U₁μ = 0 5) Solve, find the general solution: u₁ = kuxx u' (0,t) = 0, u' (L,t) = 0, u(x,0) = f(x) μ = x - at μ=x-at, show that t> 0 t> 0
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