Solve the heat equation ku əx² = u(0, t) = 0, u(L, t) = 0 u(x, 0) = x(L − x) ди 0 < x < L, t> 0 subject to the given conditions. Assume a rod of length L. at
Solve the heat equation ku əx² = u(0, t) = 0, u(L, t) = 0 u(x, 0) = x(L − x) ди 0 < x < L, t> 0 subject to the given conditions. Assume a rod of length L. at
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 heat equation k-
u(x, t) =
=
eBook
a²u
ах2
u(0, t) = 0, u(L, t) = 0
u(x, 0) = x(L − x)
0
=
+
ди
at'
∞
0 < x < L, t> 0 subject to the given conditions. Assume a rod of length L.
7
n = 1
X
)
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