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Homework 04 - Laplace Transforms

# Homework 04 - Laplace Transforms - Hint In part(a you must...

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Chemical Engineering Department University of Florida ECH 4323 Process Control Theory HOMEWORK No. 4 — LAPLACE TRANSFORMS 1.0 Exercise 3.6 (a)-(d). Use the method of quotients discussed in class for finding the residuals in all partial-fraction expansions (do not use the method that consists of equating like-coefficients of polynomials and solving the resulting equations). 2.0 Exercise 3.7 (a)-(c). Use the method of quotients discussed in class.
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Unformatted text preview: Hint: In part (a), you must realize that there is a factor cancellation between the numerator and the denominator. 3.0 Exercise 3.8. Use the method of quotients discussed in class. Hint: Assume initial conditions: ( ) ( ) x t x t • = = = = 4.0 Exercise 3.13 (b), (c). Use the method of quotients discussed in class. OPTIONAL: 5.0 (OPTIONAL PROBLEM) Find L ! 1 s s 2 + 4 e ! 3 s " # \$ % & ’...
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