Problem 3: The input x(t) = e' ,-2|t| is applied to a filter with impulse response h(t) as shown in the figure below. h(t) C 2 t (i) Determine the filter output y(t), clearly distinguishing between the different cases (ranges of t). (ii) Determine the differential equation that onnects the input x(t) and output y(t) for this system.

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show everything very clear also draw all the graphs and integrations 

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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