We know that , and we know that where and are positive and real constants.

I need to solve this for and find the limiting size.

Here's how far I got, could someone please take a look and see if this seems ok.

Need to separate the variables.

Integrating both sides.

If we now take both sides to the power

- **Sorry I'm not sure how to enlarge the latex code**

Now we know the initial condition, , this then gives us:

, so

Giving us .

The reason I'm asking is that it doesn't look the tidiest of equations.

Thanks in advance

Craig