According to wikipedia, they are equivalent. Is this correct?
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The wikipedia page does not even claim that all three are the same thing – PlasmaHH Oct 25 '17 at 09:17
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Are they same thing or not? – j.doe Oct 25 '17 at 09:20
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See: https://electronics.stackexchange.com/a/93064 – jonk Oct 25 '17 at 09:38
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So, if a system is given impulse as input, then natural response would be its output? – j.doe Oct 25 '17 at 09:55
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No. Your question just means you misunderstood the link discussion. – jonk Oct 25 '17 at 10:02
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Transients respond more impulsively, naturally. – Olin Lathrop Oct 25 '17 at 11:22
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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.

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