ECE108HW%233_06 - ECE 108 HW#3 Due 1 For a LTI system...

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ECE 108 HW#3 --- Due 2/13/06 1. For a LTI system described by the differential equation () () () 2 2 35 2 43 2 dyt d yt y tx t dt dt ++= where ( ) ( ) xt tut = (a) Determine the Characteristic Equation (b) Determine the Homogeneous Solution (c) Using the Method Of Undetermined Coefficients, determine the Particular Solution (d) Assuming the system is "initially at rest", determine the Complete Solution (e) Plot the solution for t =0 to 10. 2. For a LTI system described by the difference equation
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