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 1 (91.14 KiB) Viewed 45 times

Consider the following first order systems modeled by the following differential equations: = 1) y'(t) + 100y(t) = 100x(t) 2) y'(t) + 100y(t) = 500.c(t) 3) y'(t) + 100y(t) = 50x(t) 4) y'(t) + 100y(t) = 50.x"(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 ✓2 (the cutoff frequency)? 4. What is the frequency response of the system for x(t) cos(200t) + sin(1000)? =