2. For an input x(t) = e3tu(t), the output of an casual LTI system is y(t) = [e-t - e-2]u(t). Determine a) system function H(s). b) Can you also find the ROC of H(s) and then h(t)? c) Is the system...

2. For an input x(t) = e3tu(t), the output of an casual LTI system is<br>y(t) = [e-t - e-2]u(t).<br>Determine<br>a) system function H(s).<br>b) Can you also find the ROC of H(s) and then h(t)?<br>c) Is the system stable, explain?<br>d) Find the differential equation that can represent this LTI system.<br>

Extracted text: 2. For an input x(t) = e3tu(t), the output of an casual LTI system is y(t) = [e-t - e-2]u(t). Determine a) system function H(s). b) Can you also find the ROC of H(s) and then h(t)? c) Is the system stable, explain? d) Find the differential equation that can represent this LTI system.

Jun 11, 2022

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2. For an input x(t) = e3tu(t), the output of an casual LTI system is y(t) = [e-t - e-2]u(t). Determine a) system function H(s). b) Can you also find the ROC of H(s) and then h(t)? c) Is the system...

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