QUESTION 1 (a) Determine the Inverse Laplace transform of the following expressions: 1 (s-4)' (b) The linear differential equation of a control system is given by the following function in time domain s. y"-y=e y(0) =0 y'(0) =1 Solve the system's response in time domain t by using Laplace Transform.

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.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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QUESTION 1
(a)
Determine the Inverse Laplace transform of the following expressions:
1
(s-4)"
(b)
The linear differential equation of a control system is given by the following function in time
domain s.
y"-y=e y(0) =0 y'(0) =1
Solve the system's response in time domain t by using Laplace Transform.
Transcribed Image Text:QUESTION 1 (a) Determine the Inverse Laplace transform of the following expressions: 1 (s-4)" (b) The linear differential equation of a control system is given by the following function in time domain s. y"-y=e y(0) =0 y'(0) =1 Solve the system's response in time domain t by using Laplace Transform.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,