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 solve part b showing all work

2. Express f(t) in terms of the unit step function uc(t) and find its Laplace transform.
t2,
(a) f(t) = { 1², 0 <t<2
(b) f(t) = {
1,
0,
2≤t
0<t<2
et, 2<t
2,
(c) f(t) =
5t²,
0<t<3
3<t<8.
3 cos(t-8), 8<t
Transcribed Image Text:2. Express f(t) in terms of the unit step function uc(t) and find its Laplace transform. t2, (a) f(t) = { 1², 0 <t<2 (b) f(t) = { 1, 0, 2≤t 0<t<2 et, 2<t 2, (c) f(t) = 5t², 0<t<3 3<t<8. 3 cos(t-8), 8<t
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