Problem 3: The input x(t) = e-2lel is applied to a filter with impulse response h(t) as shown in the figure below. h(t) C 2 3 t (i) Determine the filter output y(t), clearly distinguishing between the different cases (ranges of t). (ii) Determine the differential equation that connects the input x(t) and output y(t) for this system.

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Problem 3:
The input x(t) =
-2|t|
is applied to a filter with impulse response h(t) as shown in the figure
below.
h(t)
2
3
(i) Determine the filter output y(t), clearly distinguishing between the different cases (ranges of
t).
(ii) Determine the differential equation that connects the input x(t) and output y(t) for this
system.
Transcribed Image Text:Problem 3: The input x(t) = -2|t| is applied to a filter with impulse response h(t) as shown in the figure below. h(t) 2 3 (i) Determine the filter output y(t), clearly distinguishing between the different cases (ranges of t). (ii) Determine the differential equation that connects the input x(t) and output y(t) for this system.
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