Solve the following PDE: a² y(x,t) 1 əy(x,t) əx² a² Ət : 0, 0

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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Kk.219.

 

Solve the following PDE:
a² y(x,t) 1 ay(x,t)
a² Ət
əx²
: 0,
0 <a,
With the boundary conditions
y(−L, t) = 0, y(L, t) = 0, y(x, 0) = f(x).
Transcribed Image Text:Solve the following PDE: a² y(x,t) 1 ay(x,t) a² Ət əx² : 0, 0 <a, With the boundary conditions y(−L, t) = 0, y(L, t) = 0, y(x, 0) = f(x).
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