1. ## integration problem

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 ?

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.

2. multiplying by dt should have yielded;
dI+kIdt=0
now u can easily integrate

3. $\displaystyle \frac{dI}{dt}+kI = 0$

$\displaystyle \frac{dI}{dt}=-kI$

$\displaystyle \frac{dI}{I}=-k~dt$

$\displaystyle \int \frac{dI}{I}=\int -k~dt$

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