Laplace transform of t² sin2t. [12s²-16] [2323 .(s²+4)². 35²-4 [(s²+4)³. [12s²-16 .(s²+4)6 O [12 [12s²-16] .(s²+4)². O [123

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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**Laplace Transform of \(t^2 \sin 2t\):**

Choose the correct Laplace transform expression from the following options:

1. \(\frac{12s^2 - 16}{(s^2 + 4)^2}\)
2. \(\frac{3s^2 - 4}{(s^2 + 4)^3}\)
3. \(\frac{12s^2 - 16}{(s^2 + 4)^6}\)
4. \(\frac{12s^2 - 16}{(s^2 + 4)^2}\)

Each option is accompanied by a selection circle.
Transcribed Image Text:**Laplace Transform of \(t^2 \sin 2t\):** Choose the correct Laplace transform expression from the following options: 1. \(\frac{12s^2 - 16}{(s^2 + 4)^2}\) 2. \(\frac{3s^2 - 4}{(s^2 + 4)^3}\) 3. \(\frac{12s^2 - 16}{(s^2 + 4)^6}\) 4. \(\frac{12s^2 - 16}{(s^2 + 4)^2}\) Each option is accompanied by a selection circle.
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