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Consider an $LTI$ system with impulse response $h(t)=e^{-5t}u(t)$ . If the output of the system is $y(t)=e^{-3t}u(t)-e^{-5t}u(t)$  then the input, $x(t)$, is given by

  1. $e^{-3t}u(t)$
  2. $2e^{-3t}u(t)$
  3. $e^{-5t}u(t)$
  4. $2e^{-5t}u(t)$
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