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The input-output relationship for a system is ¨y(t) + ˙y(t) = x(t). (a) Find the impulse...

The input-output relationship for a system is ¨y(t) + ˙y(t) = x(t).

(a) Find the impulse response of the system.

(b) Find the zero-state response when the input is a unit step.

(c) Find the zero-state response when the input is x(t) = 1.6u(t) − 0.6u(t − 1).

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