Determine the transfer function of the system represented by the ODE: y"(t)=6y'(t)+2x(t)-4y(t) where the input is x(t) and the output is y(t). 2 X(s) s2-4s+6 OY(s) OY(s) = X(s) OY(s) X(s) = OY(s) X(s) = = 2 s²+6s-4 2 s² +48-6 2 s²-6s+4

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
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Determine the transfer function of the system represented by the ODE:
y"(t)=6y'(t)+2x(t)-4y(t)
where the input is x(t) and the output is y(t).
2
X(s) s²-4s+6
OY(s)
OY(s)
=
X(s)
OY(s)
X(s)
=
OY(s)
X(s)
=
=
2
s²+6s-4
2
s² +48-6
2
s²-6s+4
Transcribed Image Text:Determine the transfer function of the system represented by the ODE: y"(t)=6y'(t)+2x(t)-4y(t) where the input is x(t) and the output is y(t). 2 X(s) s²-4s+6 OY(s) OY(s) = X(s) OY(s) X(s) = OY(s) X(s) = = 2 s²+6s-4 2 s² +48-6 2 s²-6s+4
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