I have the DE, , which I've solved to give .

I'm also given that and that .

Q) Suppose that at time there are cells and that P(t) is increasing at the rate of cells per month. After 6 months the tumor has doubled (size and number of cells). Find a.

A)

We can say that .

If the tumor has doubled in 6 months, then does this mean that

, therefore

Also if is increasing at a rate of , I presume that , or is it ?

If someone could give me a gentle push in the right direction it would be much appreciated

Thanks a lot

Craig