8. Which of the equations given below is the Laplace transform of the following differential equation? di -y = e3t s?Y – sy (0) – y' (0) – sY + y(0) = S-3 s?Y – sy (0) – y' (0) – sY + y(0) = 1 s+3 sY – y(0) – Y = s+3 sY – y(0) – Y = -3 sY – y(0) s+3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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DIFFERENTIAL EQUATIONS

8. Which of the equations given below is the Laplace transform of the following differential
equation?
di -y = e3t
s?Y – sy (0) – y' (0) – sY + y(0) =
S-3
s?Y – sy (0) – y' (0) – sY + y(0) =
1
s+3
sY – y(0) – Y =
s+3
sY – y(0) – Y =
-3
sY – y(0)
s+3
Transcribed Image Text:8. Which of the equations given below is the Laplace transform of the following differential equation? di -y = e3t s?Y – sy (0) – y' (0) – sY + y(0) = S-3 s?Y – sy (0) – y' (0) – sY + y(0) = 1 s+3 sY – y(0) – Y = s+3 sY – y(0) – Y = -3 sY – y(0) s+3
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