a?u ди t = at in 00 ax2 BC's: u = 0 at x = 0 for 1>0 u = 0 at x = 1 for t> 0 I.C.: u = 0 at 1 = 0 in 0
a?u ди t = at in 00 ax2 BC's: u = 0 at x = 0 for 1>0 u = 0 at x = 1 for t> 0 I.C.: u = 0 at 1 = 0 in 0
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:azu
ди
t =
at
in 0<x<1, for t>0
ax?
BC's: u = 0
at
x = 0
for t> 0
u = 0
at
x = 1
for t> 0
I.C.: и — 0
at
1 = 0 in 0 < x< 1
Find (1) eigenfunctions and eigenvalues and (2) the solution of u(x, t) using the method of
variation of parameters.
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