5, t – 4, 4 8. a. Represent f (t) using a combination of Heaviside step functions. Use h(t – c) for the Heaviside function he(t). f(t) = b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} =
5, t – 4, 4 8. a. Represent f (t) using a combination of Heaviside step functions. Use h(t – c) for the Heaviside function he(t). f(t) = b. Find the Laplace transform F(s) = L{f(t)}. F(s) = L{f(t)} =
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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Transcribed Image Text:5,
t – 4, 4 <t < 8,
t< 4,
Consider the function: f(t) =
3,
t > 8.
a. Represent f (t) using a combination of Heaviside step functions. Use h(t – c) for the Heaviside function he(t).
f(t) =
b. Find the Laplace transform F(s) = L{f(t)}.
F(s) = L{f(t)} =
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