RC Circuits and Natural Inverse Exponent function

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I was trying to figure out the relation between the equation of a discharging capacitor and the Natural Inverse Exponent function

v(t) = Vo*e^(-t/rc)


I get that A represents the voltage and the C is the inverse of the time constant but i cant figure out what the B stands for
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B is just the constant of integration that gives you the voltage that you are starting at. Most of the time you would assume that it is at zero but say for some reason that your capacitor has a non-zero electric potential on each side of it.
so technically the Natural Inverse Exponent function calculates how much the capacitor will charge or discharge for each given t

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