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.