MTR_500_HW7- KEY

MTR_500_HW7- KEY - Assignment 7-KEY Prepared by Ihab...

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Assignment – 7-KEY Prepared by Ihab Mohammad Abu Younis Problem 1: Wave equation problem:
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() () () () () () () L cn where G G kG c G L n p k n x L n x F L n p n pL pL pL B L F A F px B px A F F p F p k L F F t G L F t L u t G F t u kG c G and kF F k F F G c G G F c G F G F x u G F t u t G x F t x u Solution x g t u x f x L x x u t L u t u x u c t u n n n t π λ = = + = = = = = = = = = = = = + = = + = = = = = = = = = = = = = = = = = = = = = = = 0 ,.... ) 3 , 2 , 1 , 0 ( ) sin( ) ( 0 sin 0 sin ) ( 0 ) 0 ( sin cos 0 For 0 ) ( ) 0 ( 0 ) ( ) ( , 0 ) ( ) 0 ( , 0 0 0 ) ( ) ( ) , ( : ) ( 0 ) ( 4 1 0 , 0 , 0 , 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 &
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() () () () () = = = = = = = = = = + = = = + = = + = 1 1 0 0 0 1 1 * * ) sin( cos ) , ( ) , ( 0 ) sin( ) ( 2 ) sin( 2
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This note was uploaded on 02/14/2010 for the course CHE NGN500 taught by Professor Ghaleb during the Spring '10 term at American Dubai.

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MTR_500_HW7- KEY - Assignment 7-KEY Prepared by Ihab...

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