1. Find the Laplace transforms e2t (a): (b) of the following functions: if 0 1. f(t) = Ff(t) = t for 0 < t < 1, and f(t + 1) = f(t) for all t≥ 0, i.e., f is a periodic function with period T = 1.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 32E
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1. Find the Laplace transforms of the following functions:
e2t
if 0 ≤t < 1,
if t > 1.
(b).
f(t) =
f(t) = t for 0 ≤ t < 1, and f(t + 1) = f(t) for all t≥ 0, i.e., f is a periodic
function with period T = 1.
Transcribed Image Text:1. Find the Laplace transforms of the following functions: e2t if 0 ≤t < 1, if t > 1. (b). f(t) = f(t) = t for 0 ≤ t < 1, and f(t + 1) = f(t) for all t≥ 0, i.e., f is a periodic function with period T = 1.
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