Differential Equations Lecture Work Solutions 112

Differential Equations Lecture Work Solutions 112 - This is...

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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.

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