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These are two different cases:

Natural respons is when you have a RL or RC circuit that has been connected to a power source suddenly is disconnected with the source. This is displayed with the equation x(t) = X0 * e^-(1/Tau)t

The Step respons is when you have a RL or RC circuit and there is a suddenly change in voltage or electricity. This is displayed by the equation x(t) = Xf +[x(t0) -xf]e^-(t-t0)/Tau

where f is the point in time where the change happens.

tau is in both cases the timeconstant.

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