# HW3 - Page 546 problem 1 29 29 29 29 29 29 x t k t x u n if...

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Unformatted text preview: Page 546, problem 1: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 x t k t x u n if k n if n if dx x k n if dx x n x k B n π π π π π 2 sin 2 cos , 2 2 2 2 sin 2 2 sin 2 sin 2 1 2 1 ⋅ ⋅ = ≠ ≠ = = ⋅ ≠ = ⋅ ⋅ = ∫ ∫ Page 546, problem 4: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 x n t n n k t x u n k dx x n x x k B n n n n π π π π π sin cos 1 12 ) , ( 1 12 sin 1 2 1 1 3 3 1 3 3 1 2 + ∞ = +- =- = ⋅- ⋅ = ∑ ∫ Page 552, problem 5: Let 2 2 ) ( ) ( ) ( ) ( ) ( ) ( ) , ( p x X x X t T c t T t T x X t x u- = ′ ′ = ′ ′ ⇒ = as before. Solving for X : ( 29 + + = ∴ = ⇒ = + + + + = + + + = ⇒ = + + ′ ′ ⇒ = + = ⇒ = + = ⇒ = ⇒ = ⋅ ⋅ ⋅ = ⇒ ⋅ ⋅ ⋅ = ⋅ = ∴ = ⇒ = ⋅ = ∴ ⋅ + ⋅ = ⇒ ⋅ + ⋅ = x L n t L c...
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HW3 - Page 546 problem 1 29 29 29 29 29 29 x t k t x u n if...

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