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Unformatted text preview: + + + + . Equating the coefficients of the polynomial in s gives: 1/5 a = , 1/5 b = and 2/ 5 c = . Thus, ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 .2 1 .1 2 .2 .2 .4 .2 2 5 1 2 s s X s H s s s s s s+= = + = + + + + + . In addition to the Laplace Transform pair noted above, note the transform pair cos at e t ωand ( ) 2 2 s a s a + + + , and the pair sin at e tand ( ) 2 2 s a + + . Using the equivalences 1 a = and 2 = , gives ( ) ( ) .2 .2 cos2 .1 sin 2 t t x t h t e t e t= =. Or, ( ) ( ) ( ) .2 .2cos2 .1sin 2 t x t h 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 .
 Spring '08
 Perreira
 Laplace

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