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2.30 An LTI system is described by the LCCDE d'y dr2 dy +2 dt dx *+7y = 5 dt Its input is x(1) = cos(@t). (a) If w = 2 rad/s, compute the output y(). (b) Find the frequency o so that y(1) = A cos(ot) for some constant A > 0. That is, the input and output sinusoids are in phase.

2.30 An LTI system is described by the LCCDE d'y dr2 dy +2 dt dx *+7y = 5 dt Its input is x(1) = cos(@t). (a) If w = 2 rad/s, compute the output y(). (b) Find the frequency o so that y(1) = A cos(ot) 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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2.30 An LTI system is described by the LCCDE dy dy +2 +7y = 5 dt dx dt Its input is x(1) = cos(at). (a) If w = 2 rad/s, compute the output y(). (b) Find the frequency o so that y(r) = A cos(ot) for some constant A > 0. That is, the input and output sinusoids are in phase.
Transcribed Image Text:2.30 An LTI system is described by the LCCDE dy dy +2 +7y = 5 dt dx dt Its input is x(1) = cos(at). (a) If w = 2 rad/s, compute the output y(). (b) Find the frequency o so that y(r) = A cos(ot) for some constant A > 0. That is, the input and output sinusoids are in phase.
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