Hw7 - (a d 2 y t dt 2 3 dy t dt 2 y t = x t x t = e-3 t u t(b d 2 y t dt 2 y t = x t x t = cos(2 t u t 3 Compute the steady-state response of a

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ECEN 314 Homework # 7 Georghiades Fall 2009 Given: October 29, 2009 Due: November 5, 2009. 1. Determine the inverse Laplace transform for the following: (a) H ( s ) = s + 3 ( s + 2)( s + 4) . (b) H ( s ) = s 2 ( s + 2)( s + 4) . (c) H ( s ) = 1 s ( s - 5) 2 . (d) H ( s ) = s ( s 2 + 2 s + 5) . 2. Determine the transfer functions of the systems described by the following differential equa- tions and find the outputs (zero-state responses) for the given inputs.
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Unformatted text preview: (a) d 2 y ( t ) dt 2 + 3 dy ( t ) dt + 2 y ( t ) = x ( t ) x ( t ) = e-3 t u ( t ) . (b) d 2 y ( t ) dt 2 + y ( t ) = x ( t ) x ( t ) = cos(2 t ) u ( t ) . 3. Compute the steady-state response of a system with transfer function H ( s ) = s ( s 2 + 2 s + 5) when the input is x ( t ) = 100 cos(20 t ) . 4. Solve Problem 9.33 in the textbook. 1...
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This note was uploaded on 01/01/2012 for the course ECEN 314 taught by Professor Halverson during the Spring '08 term at Texas A&M.

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