dL/dt = k(1-L)
This is a logistic function, if I'm not mistaken.
It's a lab in my DE book. I need to find my personal k value. It's about rate of memorization.
It says I can use numerical methods or analytic methods. The problem is I don't know how to do either, apparently. I have my data, I just don't know how to apply it.
It comes out to
L = e^kt + 1
I don't really see how this allows me to solve for k, since I have several L and t values. Those values all require k to be something different.
ln(L-1)/t = k
I have ten different values for L and t. How do I work with that?