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Unformatted text preview: boundary conditions are in fact satisFed: ( x = 0, t = /2) ( x = 0, t = 3 /2) ( x = , t = /2) ( x = , t = 3 /2) (c) (2 Points) Draw the relevant characteristics and Fnd the values of: u ( /4, /4) u ( /4, /2) u ( /3, 4 /3 ) Note: The general solution for the inFnite domain is given by: u ( x , t ) = 1 2 ( f ( x ct ) + f ( x + ct )) + 1 2 c x + ct x ct g ( x ) d x , where c is the wav e speed and f ( x ) and g ( x ) are the prescribed initial displace-ment and velocity respectively....
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- Spring '07