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Consider two right-sided signals x(t) and y(t) related through the differential

Chapter 9, Problem 9.15

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QUESTION:

Consider two right-sided signals x(t) and y(t) related through the differential equations dx(t) ---;[[ = -2y(t) + 8(t) and d~;t) = 2x(t). Determine Y(s) and X(s), along with their regions of convergence.

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QUESTION:

Consider two right-sided signals x(t) and y(t) related through the differential equations dx(t) ---;[[ = -2y(t) + 8(t) and d~;t) = 2x(t). Determine Y(s) and X(s), along with their regions of convergence.

ANSWER:

Step 1 of 3

Consider the right sides signals with the differential equations,

                                           

Taking transform of both the sides we get,

                                        

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