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Unformatted text preview: conditions of x ( ) = and ! x ( ) = : !! x + 16 x = 4 t d) Determine the solution x t ( ) for the following differential equation with the initial conditions of x ( ) = and ! x ( ) = : !! x + 64 x = sin 4 t ( ) e) The Laplace transform of the response x t ( ) is known to be: X s ( ) = s 2 + 4 s s 2 + 9 ( ) . Determine the response x t ( ) . Problem No. 3 (30%) Consider the following input-output system: 5 !! y + 80 ! y + 500 y = 50 u ! 12.5 !! u with u t ( ) being the input and y t ( ) being the output. a) Determine the transfer function G s ( ) = Y s ( ) U s ( ) . b) Determine the poles and zeros of your transfer function from a) above....
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- Fall '10
- Laplace, #, 40%, 30%