Differential Equations Lecture Work Solutions 94

Differential Equations Lecture Work Solutions 94 - 1c. X...

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1c. X (0) = X ( L )=0 Y (0) = Y 0 ( H )=0 X n =s in L n = L ± 2 n =1 , 2 , ··· Y nm =s in m 1 2 π H nm = L ± 2 + m 1 2 π H 2 m, n =1 , 2 , ··· u ( x, y, t )= X m =1 X n =1 a nn e nm t sin L x sin m 1 2 π H y a nm = R L 0 R H 0 f ( x, y
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