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Unformatted text preview: y ( t ), of this system when the input is ) 2 sin( ) ( t t x = . 3(35 pts). Find the inverse Laplace transforms of the following, (a). 3 2 1 ) ( 2 + s + s = s X (b) 3 + 2s + s s = s X 2 ) ( . Solve using the cosine transform. (c). 3 + 2s + s s = s X 2 ) ( . Solve using the result in (a) and the property, ) ( ) ( s sX dt t dx = . Show that you get the same result as in (b). (d) ) 3 2 ( 1 ) ( 2 + s + s s = s X . (e) 1) + s + s ( 2) + (s 3 + s = s X 2 ) ( . Express answer in the form, ) ( cos t u Be u(t) ) + t ( e A t t + . (f) 3 + 2s + s 0.5 + s = s X 2 ) ( . Express your answer in the form u(t) ) + t ( e C t sin . (g) ( 29 ( 29 2 2 2 1 1 ) ( + + + =s s e s X s...
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This homework help was uploaded on 04/10/2008 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.
 Spring '07
 WOZNY

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