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4. Find L cos t +t² – 3e¬9t + 5

4. Find L cos t +t² – 3e¬9t + 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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The task is as follows: 4. Find \( \mathcal{L} \left\{ \cos t + t^2 - 3e^{-9t} + 5 \right\} \). This involves finding the Laplace transform of the given function.
Transcribed Image Text:The task is as follows: 4. Find \( \mathcal{L} \left\{ \cos t + t^2 - 3e^{-9t} + 5 \right\} \). This involves finding the Laplace transform of the given function.
**Problem 5: Inverse Laplace Transform** Find the inverse Laplace transform of the following expression: \[ \mathcal{L}^{-1} \left\{ \frac{1}{s^2} - \frac{48}{s^5} + \frac{s + 1}{s^2 + 2} \right\}. \] This problem involves determining the original time-domain function from the given Laplace transforms.
Transcribed Image Text:**Problem 5: Inverse Laplace Transform** Find the inverse Laplace transform of the following expression: \[ \mathcal{L}^{-1} \left\{ \frac{1}{s^2} - \frac{48}{s^5} + \frac{s + 1}{s^2 + 2} \right\}. \] This problem involves determining the original time-domain function from the given Laplace transforms.
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