# HW#15

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Signals and Systems 24 November 2010 Fall 2010 Quiz: Wednesday 1 December 2010 Homework Assignment #15 1. A system governed by the differential equation ) 4 ( 2 ) ( ) ( ) ( 2 . 0 ) ( t x t x t y t y t y is initially at rest. The input of the system is 2 2 0 0 0 ) ( 2 t e t e t t x t . Find the Laplace transform of the input and the Laplace transform of the output. 2. In the circuit below, R 20 k and C 0.25 F. (a) Find the transfer function V o ( s )/ V i ( s ). (b) Find the impulse response of the circuit. (c) Find the step response of the circuit. (d) Plot the frequency response magnitude of the circuit, and determine the bandwidth.
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