The transfer function of a causal LTI system is (a) Find the ordinary differential equation that relates
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(a) Find the ordinary differential equation that relates the system input x(t)to the system output y(t).
(b) Find the input x(t)so that for initial conditions y(0) = 0 and dy(0)/dt = 1, the corresponding output y(t)is identically zero.
(c) Suppose we would like the output y(t)to be identically zero, if we let x(t) = δ(t)what would be the initial conditions be equal to?
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