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Output of a linear system with input $x(t)$ is given by

\[y(t)=\int_{-\infty}^{\infty} h(t, \tau) x(\tau)+1.\]

The system is linear if

  1. $h(t, \tau)=h(t-\tau)$
  2. $h(t, \tau)=h(\tau)$
  3. $h(t, \tau)=h(t)$
  4. $h(t, \tau)=$ constant
  5. None of the above.
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