Find the inverse Laplace transform of F (s) = 5s+2 %3D s² (s²–1) Of (t) = 5 – 2t - že' +e Of (t) = -5 + 2t + e' +e %3D O f (t) = -5+ 2t – e' + + že O f (t) = -5 – 2t + e' +e
Find the inverse Laplace transform of F (s) = 5s+2 %3D s² (s²–1) Of (t) = 5 – 2t - že' +e Of (t) = -5 + 2t + e' +e %3D O f (t) = -5+ 2t – e' + + že O f (t) = -5 – 2t + e' +e
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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9) Please help on following multiple choice ASAP!
![**Problem Statement:**
Find the inverse Laplace transform of
\[ F(s) = \frac{5s+2}{s^2(s^2-1)} \]
**Options:**
1. \( f(t) = 5 - 2t - \frac{7}{2}e^t + \frac{3}{2}e^{-t} \)
2. \( f(t) = -5 + 2t + \frac{7}{2}e^t + \frac{3}{2}e^{-t} \)
3. \( f(t) = -5 + 2t - \frac{7}{2}e^t + \frac{3}{2}e^{-t} \)
4. \( f(t) = -5 - 2t + \frac{7}{2}e^t + \frac{3}{2}e^{-t} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74a43f44-8ce4-41e9-89f6-5a77f02dff59%2Fc007b83c-14f2-497a-9b1e-c86c77c354f8%2Fqe324a7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the inverse Laplace transform of
\[ F(s) = \frac{5s+2}{s^2(s^2-1)} \]
**Options:**
1. \( f(t) = 5 - 2t - \frac{7}{2}e^t + \frac{3}{2}e^{-t} \)
2. \( f(t) = -5 + 2t + \frac{7}{2}e^t + \frac{3}{2}e^{-t} \)
3. \( f(t) = -5 + 2t - \frac{7}{2}e^t + \frac{3}{2}e^{-t} \)
4. \( f(t) = -5 - 2t + \frac{7}{2}e^t + \frac{3}{2}e^{-t} \)
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