A control system is defined by the following mathematical relationship \(\frac{d^2 x}{dt^2 }+6 \frac{dx}{dt} ~5x(t)=10 (1-e^{-5t})\). The response of the system as t → ∞ is

A control system is defined by the following mathematical relationship

1.	A control system is defined by the following mathematical relationship \(\frac{d^2 x}{dt^2 }+6 \frac{dx}{dt} ~5x(t)=10 (1-e^{-5t})\). The response of the system as t → ∞ is
A.	x = 2
B.	x = 6
C.	x = 5
D.	x = -2
Answer» B. x = 6

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A control system is defined by the following mathematical relationship \(\frac{d^2 x}{dt^2 }+6 \frac{dx}{dt} ~5x(t)=10 (1-e^{-5t})\). The response of the system as t → ∞ is

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