Hello, I am trying to solve the following question related to my integration course:
The current I (Amps) in a conductor at time t (seconds) satisfies the law, (dI/dt) + kI = 0, where k is a constant.
Solve the differential equation by separating the variables to find the general solution.
My attempt at separating is:
1. dI + kI = dt
2. dI + I = dt/k
Can someone please tell me if and where I have gone wrong ?
then I am asked:
if k = 2.5 and the initial current is 3Amps, find the particular solution for the current.
However I am totally lost on what to do next. I think I should be integrating ?
Thanks kindly for any help.