Review Problem 2 solution

Review Problem 2 solution - pair sin at e t-and ( ) 2 2 s...

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2. If ( ) 0 u t = , ( ) 0 .6 x = - and ( ) 0 1 x = d , what is the total time solution for ( ) x t ? From Problem 1 ( ) ( ) ( ) 0 0 2 2 2 2 5 2 5 U s s x x X s s s s s + + = + + + + + d Thus: ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 2 2 2 .6 1 .6 1 .2 2 .6 .2 2 5 1 2 1 2 s s s X s s s s s + - + - + + - - = = = + + + + + + From Laplace Transform Table: note the transform pair cos at e t ω - and ( ) 2 2 s a s a + + + , and the
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Unformatted text preview: pair sin at e t-and ( ) 2 2 s a + + . Using the equivalences 1 a = and 2 = , gives: ( ) .6 cos2 .2 sin 2 t t x t e t e t--= -+ , or ( ) ( ) .6cos2 .2sin 2 t x t e t t-=-+...
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This note was uploaded on 02/29/2008 for the course ME 242 taught by Professor Perreira during the Spring '08 term at Lehigh University .

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