Electron density as a function of time

[Imagin_e]

Homework Statement

Hi!
I really need help with finding time- dependent continuity equation for electron densities in the atmosphere. I've tried to solve it without any success. My question is if someone can give me a good link/link or equations that I can start with.

Homework Equations

See above. I already have the density of the electrons and I can calculate the magnetic force etc. But I need to see how the equation for this problem looks like. I assume that it should be something like
n_e(t)=n_e0*...
Thanks!

The Attempt at a Solution

 

[Simon Bridge]

You need to define the problem, stating assumptions.