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Unformatted text preview: This is a generalized Fourier series for β (r )
a5m c λ5m = a
0 β (r ) J5 ( λ5m r ) rdr
a
0 2
J5 ( λ5m r ) rdr ∞ u(r, θ, t) =
m=0 where a5m cos 5 θ J5 ( λ5m r) sin c λ5m t λ5m can be found from
λ5m J5 ( λ5m a) = 0 and a5m from
a5m = a
0 β (r ) J5 ( λ5m r ) rdr
√
2
c λ5m 0a J5 ( λ5m r ) rdr 112 ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.
 Fall '08
 BELL,D

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