Find the Laplace transform of the function S 3t, 0

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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**Problem Statement:** 

Find the Laplace transform of the function:
\[
f(t) = 
\begin{cases} 
3t, & 0 \leq t < 2\pi \\
3, & 2\pi \leq t < \infty 
\end{cases}
\]

**NOTE:** Express the answer in terms of \( s \).

**Solution:**

\[
\mathcal{L}\{f(t)\} = 
\]

(Fill in the box with the Laplace transform calculation once completed.)
Transcribed Image Text:**Problem Statement:** Find the Laplace transform of the function: \[ f(t) = \begin{cases} 3t, & 0 \leq t < 2\pi \\ 3, & 2\pi \leq t < \infty \end{cases} \] **NOTE:** Express the answer in terms of \( s \). **Solution:** \[ \mathcal{L}\{f(t)\} = \] (Fill in the box with the Laplace transform calculation once completed.)
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