Multiple choice

A system described by the following differential equation $\frac{d^2y}{dt^2} + 3 \frac{dy}{dt} + 2y = x(t)$is initially at rest. For input x(t) = 2u(t), the output y(t) is

  1. (1 - 2e-t + e-2t)u(t)

  2. (1 + 2e-t - 2e-2t) u(t)

  3. (0.5 + e-t + 1.5e-2t) u(t)

  4. (0.5 + 2e-t + 2e-2t) u(t)

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A Correct answer
Explanation