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Let g(t) = x(t) +ax( -t), where x(t) = {3 e -t u(t) and the Laplace transform of g(t) is

Chapter 9, Problem 9.13

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QUESTION:

Let g(t) = x(t) +ax( -t), where x(t) = {3 e -t u(t) and the Laplace transform of g(t) is s G(s) = s2- 1' -1 < (ft..e{s} < 1. Determine the values of the constants a and {3

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QUESTION:

Let g(t) = x(t) +ax( -t), where x(t) = {3 e -t u(t) and the Laplace transform of g(t) is s G(s) = s2- 1' -1 < (ft..e{s} < 1. Determine the values of the constants a and {3

ANSWER:

Step1 of 5
The signal is,

                                                       

Here, 

The transform is,

                                                                    

                                                                   

For, 

                                                                   

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