Solve the following boundary-value PDE by the method of separation of variables. Note that u is finite at any p and t ди at 1 ди ap K ap2 u(1, t) = 0, u (р, 0) 3D F(р), |u(p, t)} < M

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Solve the following boundary-value PDE by the method of separation of variables. Note that u is finite at any p and t.
du
azu
1 ди
%3D
+
at
p dp
u(1, ё)
= 0,
u(р, 0) %3D
F(p),
ju(p, t)| < M
Transcribed Image Text:Solve the following boundary-value PDE by the method of separation of variables. Note that u is finite at any p and t. du azu 1 ди %3D + at p dp u(1, ё) = 0, u(р, 0) %3D F(p), ju(p, t)| < M
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