Differential Equations Lecture Work Solutions 100

Differential Equations Lecture Work Solutions 100 - c see...

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Unformatted text preview: c. see 1b in 7.1 n− Xn = cos 1 2 π L x µn = Ynm mπ y = cos H λnm = n− 1 2 π L n− 1 2 π L 2 n = 1, 2, · · · 2 + mπ H ∞ u(x, y, t) = an0 cos c λn0 t + bn0 sin c λn0 t cos anm cos c λnm t + bnm sin c λnm t cos n=1 ∞ ∞ + m=1 n=1 f (x, y ) yields an0 , anm g (x, y ) yields bn0 , bnm 100 2 m = 0, 1, 2, · · · 1 2 n− π L n− L 1 2 π x x cos mπ y H ...
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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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