Find the differential equation defined by the transfer function : 2+2s+1 g3+252+4s+2 O d'e + 2 + 4 de + 2c = dt? dt dt? dt dt + 2 + 4 + 2c = + d + 2r dt? dt O d'e + 2 de dt? de + 2c = dt + dt? + 2r O + 4 + 2 +0= * + 2 + 2- c = dt? dt dt? dt +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the differential equation defined by the transfer function:
2+2s+1
g3+252+4s+2
+ 2
dt?
dt?
+ 2c
dt
+ r
dt
dt?
+ 2
+ 4-
+ 2c
+ 2r
O + 2++ 20 = + 2 + 2r
O+ 4+ 2 + 0= + 2 + 2r
dt
dt?
dt'
di?
dt
de?
Transcribed Image Text:Find the differential equation defined by the transfer function: 2+2s+1 g3+252+4s+2 + 2 dt? dt? + 2c dt + r dt dt? + 2 + 4- + 2c + 2r O + 2++ 20 = + 2 + 2r O+ 4+ 2 + 0= + 2 + 2r dt dt? dt' di? dt de?
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