5. y(t) = -2 cost + 4 sin 31

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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which is equivalent to equ
time an s-derivative is co
ingest with respect to s
Example 2.17 Compute the Laplace tra
3t
Let f(t)= et. From
Using Proposition 2.14 w
EXERCISES
Use the linearity of the Laplace transform (Proposition 2.7)
and Table 1 of Laplace transforms on page 204 to find the
Laplace transform of the functions defined on the time domain
in Exercises 1-6.
1. y(t) = 3t²
3. y(t) = 1² + 4t +5
5. y(t) = -2 cost + 4 sin 3t
6. y(t) = 2 sin 3t + 3 cos 5t
2. y(t) = 5e³
4. y(t) = 3-5t - 11t³
KKKKK
C{₁
Transcribed Image Text:which is equivalent to equ time an s-derivative is co ingest with respect to s Example 2.17 Compute the Laplace tra 3t Let f(t)= et. From Using Proposition 2.14 w EXERCISES Use the linearity of the Laplace transform (Proposition 2.7) and Table 1 of Laplace transforms on page 204 to find the Laplace transform of the functions defined on the time domain in Exercises 1-6. 1. y(t) = 3t² 3. y(t) = 1² + 4t +5 5. y(t) = -2 cost + 4 sin 3t 6. y(t) = 2 sin 3t + 3 cos 5t 2. y(t) = 5e³ 4. y(t) = 3-5t - 11t³ KKKKK C{₁
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