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Unformatted text preview: University of California, Davis Department of Chemical Engineering & Materials Science ECH 157 - Process Dynamics and Control Fall 2011 Homework Problem Set # 2 Assigned : Monday, October 10. Due : Monday, October 17 (at the beginning of the lecture). Reading Assignment : Lecture notes, Chapters 3-4 of the textbook. Instructions : Please include your name on the first page, label the problems clearly and put them in the right order, and staple your papers. You are required to work on, and submit your solutions to, the first four problems only . Required Problems: 1. Determine (without solving for x ( t ) ) which solutions of the following differential equations will exhibit convergent behavior? Which will exhibit oscillatory behavior? (a) d 3 x dt 3 + 2 d 2 x dt 2 + 2 dx dt + x = 3 (b) d 2 x dt 2- x = 2 e t (c) d 3 x dt 3 + x = sin t (d) d 2 x dt 2 + dx dt = 4 2. Fine the complete time-domain solutions for the following differential equations using Laplace transforms: (a) d 3 x dt 3 + 4...
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This document was uploaded on 10/27/2011 for the course ECH 157 at UC Davis.
- Fall '08