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5. Consider the LTI system defined by the differential equation (a) Draw the pole-zero plot for the system. Is the system stable? (5 points) (b) Find the system’s impulse response h(t). (5 points) (c)
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5. Consider the LTI system defined by the differential equation (a) Draw the pole-zero plot for the system. Is the system stable? (5 points) (b) Find the system’s impulse response h(t). (5 points) (c) Find the system’s output if the input signal is x(t) = cos(2t). (5 points) (d) Find the system’s output if the input is x(t) = e-t u(t). (10 points)

User Letfar
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Detailed solution is attached in the images below showing step wise solution and answer for each part individually.

5. Consider the LTI system defined by the differential equation (a) Draw the pole-example-1
5. Consider the LTI system defined by the differential equation (a) Draw the pole-example-2
5. Consider the LTI system defined by the differential equation (a) Draw the pole-example-3
5. Consider the LTI system defined by the differential equation (a) Draw the pole-example-4
5. Consider the LTI system defined by the differential equation (a) Draw the pole-example-5
User Beikeni
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