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

Question

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

APTITUDE CRACK · Accepted Answer

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).

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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 :

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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 :

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