Differential Equations Lecture Work Solutions 60

Differential Equations Lecture Work Solutions 60 - u(x, y )...

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u ( x, y )= α 0 A 0 | {z } a 0 2 y · 1+ X n =1 α n C n | {z } a n cos L x sinh L y u ( x, H )= a 0 2 + X n =1 a n sinh L H cos L x f ( x ) This is the Fourier cosine series of f ( x ) a 0 H = 2 L Z L 0 f ( x ) dx a n sinh L H = 2 L Z L 0 f ( x )cos L xdx a 0 = 2 HL Z L 0 f ( x ) dx a n = 2 L sinh L H Z L 0 f ( x )cos
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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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