Got a quick question regarding an R-L-C natural overdamped response. I am basing my equation on the voltae across the capacitor (vC).

vC = A*exp(m1*t) + B*exp(m2*t)

Now to obtain the values for A and B. I have assumed two intial conditions which is the only way to do it. The two I have chosen are:

1) vC at time 0 is 2 V

2) the derivative of vC (dvC/dt) at time 0 is 0.

I'm a bit concerened about my second condition, the rate of change of voltage with respect to time at time 0. It shouldnt be 0 should it, it should be a non-zero value. Are there any other conditions I can use.

Any help will be appreciated.