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The following differential equations, r (t) input and y (t) output, refer to linear, time-invariant systems. Find the Y (s) / R (s) transfer function for each system.

The following differential equations, r (t) input and y (t) output, refer to linear, time-invariant systems. Find the Y (s) / R (s) transfer function for each system.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The following differential equations, r (t) input and y (t) output, refer to linear, time-invariant systems. Find the Y (s) / R (s) transfer function for each system.

d'y(t) +2. dt dy(t) + 5. dt dr(t) + r(t) , dt d'y(t) + 6y(t) = 3 - dt d*y(t) dy{t), dy(t) + 10- de + 5y(t) = 5r(t), dt dr d'y(t} + 10 d'y(t) dy(t) +2- + y(?) + 2 [´ y(t)dt = dr(t) + 2r(t) , dt di dr? dt d'y(t) , dy(t) 2 dt? + 5y(t) = r(t) + 2r(t - 1). dt
Transcribed Image Text:d'y(t) +2. dt dy(t) + 5. dt dr(t) + r(t) , dt d'y(t) + 6y(t) = 3 - dt d*y(t) dy{t), dy(t) + 10- de + 5y(t) = 5r(t), dt dr d'y(t} + 10 d'y(t) dy(t) +2- + y(?) + 2 [´ y(t)dt = dr(t) + 2r(t) , dt di dr? dt d'y(t) , dy(t) 2 dt? + 5y(t) = r(t) + 2r(t - 1). dt
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