Consider the function, f(t) = t(4 – t) U(t) + (t² – 6t + 8) U(t – 2) + (2t – 8) U(t – 4). | ra) Rewrite the function f(t) as a piecewise defined function. (b) Find the Laplace transform, F(s) = L{f(t)}. %3D
Consider the function, f(t) = t(4 – t) U(t) + (t² – 6t + 8) U(t – 2) + (2t – 8) U(t – 4). | ra) Rewrite the function f(t) as a piecewise defined function. (b) Find the Laplace transform, F(s) = L{f(t)}. %3D
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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Please answer parts a and b
Transcribed Image Text:Consider the function, f(t) = t(4 – t) U(t) + (t² – 6t + 8) U(t – 2) + (2t – 8) U(t – 4).
a) Rewrite the function f(t) as a piecewise defined function.
(b) Find the Laplace transform, F(s) = L{f(t)}.
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