Solve the partial differential equation a²u 1 0²u = ox² c² dt² u(0, t) = u(1, t)=0 u(x,0)=1 and du(x,0) ôt =X
Solve the partial differential equation a²u 1 0²u = ox² c² dt² u(0, t) = u(1, t)=0 u(x,0)=1 and du(x,0) ôt =X
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:Solve the partial differential equation
1 a’u
u(0,t) = u(1, t) = 0 u(x,0) =1 and
a²u
ди(х,0)
X.
c ôt?
2
ôt
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