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25. F(s) = = 7s² +23s + 30 (s − 2) (s² + 2s + 5)

25. F(s) = = 7s² +23s + 30 (s − 2) (s² + 2s + 5)

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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Number 25 Please
In Problems 21–30, determine \(\mathcal{L}^{-1}\{F\}\). 21. \( F(s) = \frac{6s^2 - 13s + 2}{s(s - 1)(s - 6)} \) 22. \( F(s) = \frac{s + 11}{(s - 1)(s + 3)} \) 23. \( F(s) = \frac{5s^2 + 34s + 53}{(s + 3)^2(s + 1)} \) 24. \( F(s) = \frac{7s^2 - 41s + 84}{(s - 1)(s^2 - 4s + 13)} \) 25. \( F(s) = \frac{7s^2 + 23s + 30}{(s - 2)(s^2 + 2s + 5)} \) 26. \( F(s) = \frac{7s^3 - 2s^2 - 3s + 6}{s^3(s - 2)} \) 27. \( s^2F(s) - 4F(s) = \frac{5}{s + 1} \) 28. \( s^2F(s) + sF(s) - 6F(s) = \frac{s^2 + 4}{s^2 + s} \)
Transcribed Image Text:In Problems 21–30, determine \(\mathcal{L}^{-1}\{F\}\). 21. \( F(s) = \frac{6s^2 - 13s + 2}{s(s - 1)(s - 6)} \) 22. \( F(s) = \frac{s + 11}{(s - 1)(s + 3)} \) 23. \( F(s) = \frac{5s^2 + 34s + 53}{(s + 3)^2(s + 1)} \) 24. \( F(s) = \frac{7s^2 - 41s + 84}{(s - 1)(s^2 - 4s + 13)} \) 25. \( F(s) = \frac{7s^2 + 23s + 30}{(s - 2)(s^2 + 2s + 5)} \) 26. \( F(s) = \frac{7s^3 - 2s^2 - 3s + 6}{s^3(s - 2)} \) 27. \( s^2F(s) - 4F(s) = \frac{5}{s + 1} \) 28. \( s^2F(s) + sF(s) - 6F(s) = \frac{s^2 + 4}{s^2 + s} \)
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