Differential Equations Lecture Work Solutions 101

Differential Equations Lecture Work Solutions 101 - b nm` b...

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2. Since boundary conditions are the same as in 2 section 7.1 u ( x, y, z, t )= X n =1 X m =1 X ` =1 ± a nm` cos c ² λ nm` t + b nm` sin c ² λ nm` t ³ sin L x sin H y sin W z f ( x, y, z ) yields a nm` a nm` = R L 0 R H 0 R W 0 f ( x, y, z )s in L x sin H y sin W zdzdydx R L 0 R H 0 R w 0 sin 2 L x sin 2 H y sin 2 W zdzdydx g ( x, y, z
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Unformatted text preview: b nm` b nm` = R L R H R W g ( x, y, z ) sin n L x sin m H y sin ` W z dz dy dx c nm` R L R H R W sin 2 n L x sin 2 m H y sin 2 ` W z dz dy dx 101...
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