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A linear system at rest is subject to an input signal r(t)=1-e-t. The response of the system for t>0 is given by c(t)=1-e-2t. The transfer function of the system is:

A linear system at rest is subject to an input signal r(t)=1-e-t. The response of the system for t>0 is given by c(t)=1-e-2t. The transfer function of the system is: Correct Answer 2(s+1)/(s+2)

r(t)=1-e-t c(t)=1-e-2t Convert the above equations to S-domain R(s)=1/s-1/s+1 C(s)=1/s-1/s+2 Transfer function of given linear system(TF) = C(s)/ R(s) = 2(s+1)/(s+2).

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