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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem 1.** Compute the Laplace transform of:

\[
f(t) = 
\begin{cases} 
t & 0 \leq t < 2 \\
3 & t \geq 2 
\end{cases}
\]

In this problem, the function \( f(t) \) is defined as a piecewise function. It takes the value of \( t \) when \( t \) is between 0 and 2, and the constant value of 3 when \( t \) is greater than or equal to 2. The task is to find the Laplace transform of this function.
Transcribed Image Text:**Problem 1.** Compute the Laplace transform of: \[ f(t) = \begin{cases} t & 0 \leq t < 2 \\ 3 & t \geq 2 \end{cases} \] In this problem, the function \( f(t) \) is defined as a piecewise function. It takes the value of \( t \) when \( t \) is between 0 and 2, and the constant value of 3 when \( t \) is greater than or equal to 2. The task is to find the Laplace transform of this function.
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