EL611 DiffEq

# EL611 DiffEq - e t t h t b 5 2 3 t U e t U e t h t t 4 A...

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EL611 LTI-Differential Eq Fall 2008 1. Find the System functions (transfer functions) of the systems described by the following differential equations. Also, assuming the systems are causal, state whether or not they are stable. a) ) ( ) ( ) ( 6 ) ( 8 ) ( 2 t x t x t y t y t y b) ) ( ) ( ) ( 2 ) ( ) ( t x t x t y t y t y 2. Find the differential equation of a system with the transfer function below. 3 2 3 ) 5 . 0 )( 1 ( 5 2 3 ) ( s s s s s s H 3. Find the differential equation of systems with the impulse responses below. a) ) ( ) ( 2 t U
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Unformatted text preview: e t t h t b) ) ( 5 ) ( 2 ) ( 3 t U e t U e t h t t 4. A system is defined by the differential equation ) ( 2 ) ( ) ( 2 ) ( 3 ) ( t x t x t y t y t y . a) Find the output, ) ( t y , if the input is ) ( ) ( 2 t U t t x . b) Find the output if the input is ) ( ) ( t U e t x t j . Show that the steady-state response is equal to t j ss e j H t y ) ( ) ( ....
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