# 4_3b - Solutions 4.3-Page 292 Problem 13 Use partial...

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Solutions 4.3-Page 292 Problem 13 Use partial fractions to find the inverse Laplace transforms of the functions. 10 7 2 5 ) ( 2 + + = s s s s F ) ( s F can be rewritten as ) 2 )( 5 ( 2 5 ) ( + + = s s s s F . Partial fractions are used to expand the Laplace transform. 5 15 3 5 : 1 2 5 ) 5 ( ) 2 ( 2 5 ) 2 )( 5 ( 2 5 = = = = + + + + + + = + + A A s Case s s B s A s B s A s s s 5 5 2 3 ) ( 3 9 3 2 : 2 + + = = = = s s s F B B s Case t t e e t f 5 2 5 3 ) ( =

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Use partial fractions to find the inverse Laplace transforms of the functions. 16 1 ) ( 4 = s s F ) ( s F can be rewritten as ) 4 )( 4 ( 1 ) ( 2 2 + = s s s F . Partial fractions are used to expand the Laplace transform. + = = = + = + = = = = = + + + + = + 4 1 4 1 ) 8 / 1 ( ) ( 8 / 1 1 2 / 1 4 1 4 4 0 : 2 8 / 1 1 8 2 : 1 1 ) 4 ( ) 4 ( 4 4 ) 4 )( 4 ( 1 2 2 2 2 2 2 2 2 s s s F A A B A s Case B B s Case s B s A s
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4_3b - Solutions 4.3-Page 292 Problem 13 Use partial...

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