1.

The input and output of an LTI system are x (t) = e-3t u (t) and y (t) = e-t u (t). The differential equation which characterizes the system is ___________

A. ( frac{dy(t)}{dt} + y(t) = frac{dx(t)}{dt} + 3x(t) )
B. ( frac{dy(t)}{dt} + 2y(t) = frac{dx(t)}{dt} + 3x(t) )
C. ( frac{dy(t)}{dt} y(t) = frac{dx(t)}{dt} + 3x(t) )
D. ( frac{dy(t)}{dt} 2y(t) = frac{dx(t)}{dt} + 3x(t) )
Answer» B. ( frac{dy(t)}{dt} + 2y(t) = frac{dx(t)}{dt} + 3x(t) )


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