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A linear time invariant system has an impulse response $e^{2 t}, t>0$. If the initial conditions are zero and the input is $e^{3 t}$, then output for $t>0$ is

  1. $e^{3 t}-e^{2 t}$
  2. $\mathrm{e}^{5 t}$
  3. $e^{3 t}+e^{2 t}$
  4. None of these
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