3s-10 Find the inverse Laplace transform of F (s) = s2+4 O f (t) = 3 cos(21) – 5 sin(2t) O f (t) = 2 cos(31) – 2 sin(3t) II O f (t) = 3 cos(21) – 2 sin(5t) %3D O f (t) = 3 cos(2t) + 5 sin(2t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8) Please help on following multiple choice ASAP!

**Problem Statement:**

Find the inverse Laplace transform of \( F(s) = \frac{3s - 10}{s^2 + 4} \).

**Options:**

- \( f(t) = 3 \cos(2t) - 5 \sin(2t) \)

- \( f(t) = 2 \cos(3t) - 2 \sin(3t) \)

- \( f(t) = 3 \cos(2t) - 2 \sin(5t) \)

- \( f(t) = 3 \cos(2t) + 5 \sin(2t) \)
Transcribed Image Text:**Problem Statement:** Find the inverse Laplace transform of \( F(s) = \frac{3s - 10}{s^2 + 4} \). **Options:** - \( f(t) = 3 \cos(2t) - 5 \sin(2t) \) - \( f(t) = 2 \cos(3t) - 2 \sin(3t) \) - \( f(t) = 3 \cos(2t) - 2 \sin(5t) \) - \( f(t) = 3 \cos(2t) + 5 \sin(2t) \)
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