Consider the following first order systems modeled by the following differential equations: = 1) y'(t) + 100y(t) = 100x(
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Consider the following first order systems modeled by the following differential equations: = 1) y'(t) + 100y(t) = 100x(
Consider the following first order systems modeled by the following differential equations: = 1) y'(t) + 100y(t) = 100x(t) 2) y(t) + 100y(t) = 500x(t) 3) y'(t) + 100y(t) = 50x(t) 4) y'(t) + 100y(t) = 50x' (t) - Answer to the following questions for each system 1. What is the frequency transfer function of the system? 2. Is this a low-pass, high-pass, or some other kind of filter ? 1 3. At what frequency will the output be attenuated by from its maximum 12 (the cutoff frequency)? 4. What is the frequency response of the system for x(t) cos(200t) + sin(100t)?
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