4_5a - Solutions 4.5-Page 311 Problem 3 Find the inverse...

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Unformatted text preview: Solutions 4.5-Page 311 Problem 3 Find the inverse Laplace transform the function. Then sketch the graph of . ) ( t f f 2 ) ( + = − s e s F s Theorem 1 states that { } ( ) ) ( ) ( 1 a t f a t u s F e as − − = − − L . For this problem, 2 1 ) ( , 1 + = = s s F a . Therefore ( ) 1 2 1 − = + − − f t u s e s L ) 1 ( − t . From Fig.4.1.2 on pg.268, corresponding to ) 1 ( − t f 2 1 ) ( + = s s F ) 1 ( = − e t f is . ) 1 ( 2 − − t Therefore ) 1 ( 2 1 1 ) ( 2 − − − − = + t s e t u s e L The graph can be found in the solution section of the textbook (p. 725). Problem 5 Find the inverse Laplace transform the function. Then sketch the graph of . ) ( t f f 1 ) ( 2 + = − s e s F s π Theorem 1 states that { } ( ) ) ( ) ( 1 a t f a t u s F e as − − = − − L . For this problem, 1 1 ) ( , 2 + = = s s F a π . Therefore ( ) ) ( π π − t f 1 2 1 π − = + − − t u s e s L . From Fig.4.1.2 on From Fig....
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This note was uploaded on 06/06/2011 for the course EGM 3311 taught by Professor Haftka during the Spring '11 term at University of Florida.

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4_5a - Solutions 4.5-Page 311 Problem 3 Find the inverse...

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