ex2 - ECE360 EXAM#2 FALL 2007 Instructions 1 Closed-book...

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Unformatted text preview: ECE360 EXAM #2 FALL 2007 Instructions : 1. Closed-book, closed-notes, open-mind exam. You may only use the exam objectives and the two tables of Laplace transforms distributed in class. 2. Work each problem on the exam booklet in the space provided. 3. Write neatly and clearly for partial credit. Cross out any material you do not want graded. 4. Leave one empty seat between each of you. Name : Problem 1 : /25 Problem 2 : /25 Problem 3 : /25 Problem 4 : /25 Total : /100 Laplace Transforms : L n e- at o = 1 s + a , L n te- at o = 1 ( s + a ) 2 L{ cos ωt } = s s 2 + ω 2 , L{ sin ωt } = ω s 2 + ω 2 L n e- σt cos ωt o = s + σ ( s + σ ) 2 + ω 2 , L n e- σt sin ωt o = ω ( s + σ ) 2 + ω 2 1 Problem 1 (25 Points) Consider the following linear second-order differential equation: d 2 x dt 2 + 2 dx dt + x ( t ) = 0 , x (0) = 1 , ˙ x (0) = 0 (a) Define x 1 = x , x 2 = ˙ x and rewrite this second-order differential equation as a system of two first-order differential equations by filling in the missing elements of the system matrix...
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This document was uploaded on 11/01/2011 for the course ECE 360 at Boise State.

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ex2 - ECE360 EXAM#2 FALL 2007 Instructions 1 Closed-book...

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