Differential Equations Lecture Work Solutions 122

Differential Equations Lecture Work Solutions 122 - general...

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general solution u ( x, y, z )= X m =0 X n =0 A mn cos L x cos L y sinh s L ± 2 + L ± 2 ( z W ) u ( x, y, 0) = X m =0 X n =0 A mn cos L x cos L y sinh s L ± 2 + L ± 2 W But u ( x, y, 0) = 4 cos 3 π L x cos 4 π L y Comparing coefficients A mn =0 fo r m 6 =4 o r n 6 =3 For n =3 ; m =4 A 43 sinh s 9 π 2 L 2
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