# HW01

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Signals and Systems 27 August 2012 Fall 2012 Quiz: Wednesday 29 August 2012 Homework Assignment #1 1. Find the differential equation relating y ( t ) and x ( t ) if ) ( ) ( s X s Y = 1 4 2 3 5 . 2 2 3 + + s s s s . 2. Find the system transfer function ) ( ) ( ) ( s X s Y s H = if the input x ( t ) and the output y ( t ) of the system are related by the equation = + t d x t x t y t y 0 ) ( ) ( ) ( 3 ) ( τ τ . Assume y (0) = 0. (Hint: Take the Laplace transform of the equation.) 3. Solve the differential equation
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