Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise function: (1, f(t) = let, 0≤t <3 3 st Hint: Integrate 1.est from t = 0 to t=3. Integrate eest from t = 3 tot = ∞o. Then add together the two results to get the transform of f(t).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise function:
(1,
f(t) =
0≤t <3
3 st
Hint: Integrate 1.est from t = 0 to t = 3. Integrate eest from t = 3 tot = ∞o. Then add together the two results to get
the transform of f(t).
Transcribed Image Text:Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise function: (1, f(t) = 0≤t <3 3 st Hint: Integrate 1.est from t = 0 to t = 3. Integrate eest from t = 3 tot = ∞o. Then add together the two results to get the transform of f(t).
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