A system described by the following differential equation is initially at rest and then excited by the input x(t) = 3u(t):\(\frac{d^2 y}{dt^2}+4 \frac{dy}{dt}+3y=x(t)\) The output y(t) is

A system described by the following differential equation is initially

1.	A system described by the following differential equation is initially at rest and then excited by the input x(t) = 3u(t):\(\frac{d^2 y}{dt^2}+4 \frac{dy}{dt}+3y=x(t)\) The output y(t) is
A.	1 – 1.5e-t + 0.5e-3t
B.	1 – 0.5e-t + 1.5e-3t
C.	1 + 1.5e-t + 0.5e-3t
D.	1 + 0.5e-t – 0.5e-3t
Answer» B. 1 – 0.5e-t + 1.5e-3t

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A system described by the following differential equation is initially at rest and then excited by the input x(t) = 3u(t):\(\frac{d^2 y}{dt^2}+4 \frac{dy}{dt}+3y=x(t)\) The output y(t) is

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