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An LTI system is described by the following linear constant-coefficient differential equation. Its input is x(t) = cos (wt). d²y dx + 2· + 7y = 5– dt2 dt dt a. If w = 2 rad/sec, compute the output y(t). b. Find the frequency w so that y(t) = A cos(wt) for some constant A > 0. That is, the input and output sinusoids are in phase.

An LTI system is described by the following linear constant-coefficient differential equation. Its input is x(t) = cos (wt). d²y dx + 2· + 7y = 5– dt2 dt dt a. If w = 2 rad/sec, compute the output y(t). b. Find the frequency w so that y(t) = A cos(wt) for some constant A > 0. That is, the input and output sinusoids are in phase.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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An LTI system is described by the following linear constant-coefficient differential equation. Its input is x(t) = cos (wt). d?y dy dx 5. dt + 2 + 7y dt2 dt a. If w = 2 rad/sec, compute the output y(t). b. Find the frequency w so that y(t) = A cos(wt) for some constant A > 0. That is, the input and output sinusoids are in phase.
Transcribed Image Text:An LTI system is described by the following linear constant-coefficient differential equation. Its input is x(t) = cos (wt). d?y dy dx 5. dt + 2 + 7y dt2 dt a. If w = 2 rad/sec, compute the output y(t). b. Find the frequency w so that y(t) = A cos(wt) for some constant A > 0. That is, the input and output sinusoids are in phase.
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