(a) Compute and plot the impulse response of each system of Problem using MATLAB.
(b) Compute and plot the step response of each system of Problem using MATLAB.
Consider the LTI systems described by the following differential equations.
(i)
(ii)
(iii)
(iv)
(v)
(a) Find the unit impulse response h(t) for each system.
(b) Verify all partial-fraction expansions using MATLAB.
(c) Find the unit step response s(t) for each system.
(d) To verify your results, show that the functions in Parts (a) and (c) satisfy the equation
relating the impulse response h(t) and the step response s(t).
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