MA360Handout 6a

MA360Handout 6a - MA360 Sp2006 Kallfelz Handout 6a (week of...

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1 MA360 Handout 6a (week of Feb 20 ) Sp2006 Kallfelz Assignment: page 80 Sheng (Exercise 7) Problems 1,3,5,7 Example (#2, Sheng p 68) ( ) ( )( )( ) ( ) ( ) ( ) 1 1 2 2 1 1 2 2 5 2 11 2 + - - + - - + - + + = = s C s B s A s s s s s s F Using Heaviside Cover Method: ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 1 3 5 2 9 18 1 1 2 2 1 5 1 2 1 11 9 27 1 2 5 2 11 2 1 9 45 1 2 1 2 2 5 2 2 2 11 2 1 2 1 2 1 2 2 1 2 = = = - = - = = = = = = = = - - - - + - - - + - + - + - + - C s B s A s So: ( ) ( )( )( ) ( ) ( ) ( ) { } { } { } { } ( ) t t t t t t t s s s s s s s s e e e t f e e e L e L e L e L s F t t - - - + - - - + - - + - + - = + - = + - = + + = = 2 5 2 5 2 3 5 2 2 2 1 2 1 2 2 3 2 2 3 2 2 1 2 2 3 2 5 1 1 2 2 5 2 11 Example (#5, Sheng p 68) ( ) ( ) ( ) ( ) ( ) { } 4 4 2 7 6 1 2 4 - - = = + + + - t f t u L s F s s e s s (according to THM8) where: ( ) { } ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 3 2 2 1 3 2 2 1 3 2 2 1 2 6 / 1 6 1 2 7 6 1 + + + + + + + + + + + + = = = = s B s A s s s s s s s s s t f L Using Heaviside Cover Method: ( ) ( ) ( ) ( ) 3 1 6 / 1 3 2 2 1 6 / 1 2 1 2 1 3 2 3 2 3 2 2 1 2 1 - = = -
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MA360Handout 6a - MA360 Sp2006 Kallfelz Handout 6a (week of...

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