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3. Heaviside Expansion Theorem. a. f(t) = [-0.008929e-] + [e³ (0.0548 -0.0463t)] + [e-1.5t (-0.0458 cos 2.5981t - 0.0754 sin 2.5981t)]

3. Heaviside Expansion Theorem. a. f(t) = [-0.008929e-] + [e³ (0.0548 -0.0463t)] + [e-1.5t (-0.0458 cos 2.5981t - 0.0754 sin 2.5981t)]

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Heaviside Expansion Theorem. Determine the functions f (t) having the following Laplace transform using HEAVISIDE EXPANSION THEOREM. For each succeeding item, answer the following question 1. How many factors does the denominator of the simplified form have? Please specify and identify its corresponding HET case for each factor. 11. Solve each case in detail. Identify the necessary parameters/variables in each case (such as 'a', 'b', 'r " ", etc) to clearly understand your solution. Box all individual answer in each HET case (eg. f'(t), f"(t), f(t) and the like) Determine the final solution of DE using HET (f(t) = f'(t) + f(t)+...) a. F(s) = S- (s+1) (s3-27)
Transcribed Image Text:3. Heaviside Expansion Theorem. Determine the functions f (t) having the following Laplace transform using HEAVISIDE EXPANSION THEOREM. For each succeeding item, answer the following question 1. How many factors does the denominator of the simplified form have? Please specify and identify its corresponding HET case for each factor. 11. Solve each case in detail. Identify the necessary parameters/variables in each case (such as 'a', 'b', 'r " ", etc) to clearly understand your solution. Box all individual answer in each HET case (eg. f'(t), f"(t), f(t) and the like) Determine the final solution of DE using HET (f(t) = f'(t) + f(t)+...) a. F(s) = S- (s+1) (s3-27)
3. Heaviside Expansion Theorem. a. f(t) = [-0.008929e-] + [et (0.0548 -0.0463t)] + [e-1.5t (-0.0458 cos 2.5981t - 0.0754 sin 2.5981t)]
Transcribed Image Text:3. Heaviside Expansion Theorem. a. f(t) = [-0.008929e-] + [et (0.0548 -0.0463t)] + [e-1.5t (-0.0458 cos 2.5981t - 0.0754 sin 2.5981t)]
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