Exam Questions Papers - Engineering

Q1:

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

A (1 - 2e-t + e -2t)

B (1 + 2e-t - 2e -2t)u(t)

C (0.5 + e-t + 1.5e -2t)u(t)

D (0.5 + 2e-t + 2e -2t)u(t)

ANS:A - (1 - 2e-t + e -2t)

Taking L.T. s2y(s) + 3sy(s) + 2y(s) = x(s) I.L.T = (1 - 2e-t + e-2t)U(t).