1. The Laplace transform of a function () is given by the expression F(s) = Lif(t)} = f(t)e" dt Find the Laplace transform of the following functions a. 04 (1) -(1-b) (), where b is a constant ae" sin at-be cos br, where a and b are constants b.
1. The Laplace transform of a function () is given by the expression F(s) = Lif(t)} = f(t)e" dt Find the Laplace transform of the following functions a. 04 (1) -(1-b) (), where b is a constant ae" sin at-be cos br, where a and b are constants b.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Transcribed Image Text:1. The Laplace transform of a function f(t) is given by the expression
F(s) = Lif(t)} = f(t)" dt
Find the Laplace transform of the following functions
df)-(1-b)), where b is a constant
a.
dt
ae sin at-be- cos br, where a and b are constants
f(kt-m), where k and m are constants
Find the inverse Laplace transform of the following functions
b.
C.
d.
F(3)= (+2X(3+3)
F(3) = 65+25
s(s+5)²
6.
f. F(s) = ($+3)-³0
s² (3+2)
38 +4
F(s) = (²+68+13)
g.
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