Exam Questions Paper - ECE Questions and Answers

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A system described by the following differential equation is initially at rest. For input x(t) - 2u(t), the output y(t) is :

(1 - 2e^-t + e ^-2t)

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

(0.5 + e^-t + 1.5e ^-2t)u(t)

(0.5 + 2e^-t + 2e ^-2t)u(t)

Answer : Option A

Explanation :

Taking L.T.

s²y(s) + 3sy(s) + 2y(s) = x(s)

I.L.T = (1 - 2e^-t + e^-2t)U(t).

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