Differential Equations Lecture Work Solutions 124

Differential Equations Lecture Work Solutions 124 - m m y...

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u ( x, y, z )= A 00 + X m =1 A m 0 cos L y cosh L ( z W ) + X n =1 A 0 n cos L x cos cosh L ( z W ) + X m =1 X n =1 A mn cos L x cos L y cosh s L ± 2 + L ± 2 ( z W ) u z ( x, y, z )= X m =1 L A m 0 cos L y sinh L ( z W ) + X n =1 L A 0 n cos L x sinh L ( z W ) + X m =1 X n =1 s L ± 2 + L ± 2 A mn cos L x cos L y sinh s L ± 2 + L ± 2 ( z W ) At z =0 u z ( x, y, 0) = X m =1 A m 0 L cos L y sinh L W X n =1 A 0 n L cos L x sinh L W X m =1 X n =1 s L ± 2 + L ± 2 A mn cos L x cos L y sinh s L ± 2 + L ± 2 W But u z ( x, y, 0) = 4 cos 3 π L x cos 4 π L y Comparing coefficients A
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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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