http://i43.tinypic.com/akwpaa.png

at t=0, the switch closes.

lets say we use the transfer function approach and we obtain the poles to this function.

the function for current or voltage will be either:

=a(1-e^-p1*t)+b(1-e^-p2*t)

or

= a(e^-p1*t)+b(e^-p2*t)

in a generic case == a(1*e^-t/T)+b(1*e^t/T) where T= period.

i know from experience that this is case 2 as when the switch closes, it becomes a RLC circuit thus the steady state will equal 0.

is there any real stratergy to know which equation to use?