Multiple choice

A continuous time LTI system is described by $\dfrac{d^2 y(t)}{dt^2} + 4 \dfrac{dy(t)}{dt} 3 y(t) = 2 \dfrac{dx(t)}{dt} + 4 \times (t)$. Assuming zero initial condition, the response y(t) of the above system for the input x(t) = e-2tu(t) is given by

  1. (et-e3t)u(t)

  2. (e-t-3-3t)u(t)

  3. (e-t+e-3t)u(t)

  4. (et+e3t)u(t)
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B Correct answer
Explanation

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