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GATE2019-5

  1. GATE2019-25
  2. GATE2019-25
  3. GATE2019-25
  4. GATE2019-25

Let $Y(s)$ be the unit-step response of a causal system having a transfer function

$G(s)= \frac{3-s}{(s+1)(s+3)}$

that is ,$Y(s)=\frac{G(s)}{s}.$ The forced response of the system is

  1. $u(t)-2e^{-t}u(t)+e^{-3t}u(t)$
  2. $2u(t)-2e^{-t}u(t)+e^{-3t}u(t)$
  3. $2u(t)$
  4. $u(t)$
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