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According to wikipedia, they are equivalent. Is this correct?

j.doe
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Natural response is the zero input response (i.e. response to initial conditions).

Impulse response is (unsurprisingly) the response to a unit impulse - the Laplace Transform of a unit impulse response is the transfer function.

Transient response is a generic term that applies to any time-domain component of a response that decays to a steady state value.

Chu
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