Find the solution of the PDE d²u 01² {u(0,1)= u(6,1)=0, 120 50²μ = 0, 00 Ox2 dx u(x,0)=8sen(x) -(x,0)=0 du at para 0≤x≤6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the solution of the PDE
d²u
01²
-50²μ = 0,
Ox2
{u(0,t)= u(6,t)= 0, t≥0
u(x,0)=8sen(x)]
-(x,0)=0
du
Ət
= 0, 0<x<6, t>0
para 0≤x≤6
Transcribed Image Text:Find the solution of the PDE d²u 01² -50²μ = 0, Ox2 {u(0,t)= u(6,t)= 0, t≥0 u(x,0)=8sen(x)] -(x,0)=0 du Ət = 0, 0<x<6, t>0 para 0≤x≤6
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