Laplace transforms

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Determine the Laplace transforms of the following functions.

(a) \( f(t) = 
   \begin{cases} 
   t, & 0 < t < 1 \\ 
   e^{2t}, & t > 1 
   \end{cases} \)

(b) \( g(t) = t^3 - 2te^t + e^{4t} \sin 5t. \)
Transcribed Image Text:1. Determine the Laplace transforms of the following functions. (a) \( f(t) = \begin{cases} t, & 0 < t < 1 \\ e^{2t}, & t > 1 \end{cases} \) (b) \( g(t) = t^3 - 2te^t + e^{4t} \sin 5t. \)
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