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Find the given inverse Laplace transform. e-² [5²2²25) a. −1+e²t b. e²t+2sin(2t) c. 2(1-e-²¹) d. 2e-21Sinh(t) e. 2sin(2t) O a O c Od e

Find the given inverse Laplace transform. e-² [5²2²25) a. −1+e²t b. e²t+2sin(2t) c. 2(1-e-²¹) d. 2e-21Sinh(t) e. 2sin(2t) O a O c Od e

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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**Inverse Laplace Transform** Find the given inverse Laplace transform. $$\mathcal{L}^{-1} \left\{ \frac{2}{s^2 - 2s} \right\}$$ ### Options: a. \(-1 + e^{2t}\) b. \(e^{2t} + 2 \sin(2t)\) c. \(2(1 - e^{-2t})\) d. \(2e^{-2t} \sinh(t)\) e. \(2 \sin(2t)\) ### Answer Choices: - ○ a - ○ b - ○ c - ○ d - ○ e Please choose the correct option from the above list.
Transcribed Image Text:**Inverse Laplace Transform** Find the given inverse Laplace transform. $$\mathcal{L}^{-1} \left\{ \frac{2}{s^2 - 2s} \right\}$$ ### Options: a. \(-1 + e^{2t}\) b. \(e^{2t} + 2 \sin(2t)\) c. \(2(1 - e^{-2t})\) d. \(2e^{-2t} \sinh(t)\) e. \(2 \sin(2t)\) ### Answer Choices: - ○ a - ○ b - ○ c - ○ d - ○ e Please choose the correct option from the above list.
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