Multiple choice

Directions: Carry Two Marks Each.

Input x(t) and output y(t) of an LTI system are related by the differentiation equation y’’(t) – y’(t) – 6y(t) = x(t). If the system is neither casual nor stable, the impulse response h(t) of the system is

  1. $ \frac{1}{5}e^{3t}u(-t*) +\frac{1}{5}e^{-2t}u(-t)$
  2. $- \frac{1}{5}e^{3t}u(-t) +\frac{1}{5}e^{-2t}u(-t)$
  3. $\frac{1}{5}e^{3t}u^*(-t) -\frac{1}{5}e^{-2t}u(t)$
  4. $- \frac{1}{5}e^{3t}u(-t) -\frac{1}{5}e^{-2t}u(t)$
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B Correct answer
Explanation

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