Electrical Engineering > GATE 2016 SET-2 > LTI Systems
Consider a causal LTI system characterized by differential equation dy(t)/dt + (1/6)y(t) = 3x(t). The response of the system to the input, x(t) = 3e-t/3u(t), where u(t) denotes the unit step function, is
A
9e-t/3u(t)
B
9e-t/6u(t)
C
9e-t/3u(t) - 6e-t/6u(t)
D
54e-t/6u(t) - 54e-t/3u(t)

Correct : d

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