A system has the input-output relation \(\frac{{dc\left( t \right)}}{{dt}} + 2c\left( t \right) = r\left( t \right)\), where c(t) is the output and r(t) is the input to the system. Determine the unit step response of the system.

c(t) = 0.5(1 – e-2t), -∞ < t < ∞

A system has the input-output relation \(\frac{{dc\left( t \right)}}{{

1.	A system has the input-output relation \(\frac{{dc\left( t \right)}}{{dt}} + 2c\left( t \right) = r\left( t \right)\), where c(t) is the output and r(t) is the input to the system. Determine the unit step response of the system.
A.	c(t) = 0.5(1 + e-2t), t > 0
B.	c(t) = 0.5(1 – e-2t), -∞ < t < ∞
C.	c(t) = 0.5(1 – e-2t), t > 0
D.	c(t) = 0.5(1 – e2t), t > 0
Answer» D. c(t) = 0.5(1 – e2t), t > 0

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A system has the input-output relation \(\frac{{dc\left( t \right)}}{{dt}} + 2c\left( t \right) = r\left( t \right)\), where c(t) is the output and r(t) is the input to the system. Determine the unit step response of the system.

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