I'm looking for functions that satisfy:
(k being a constant)
So far I am aware that works, but are there any other functional forms out there that would also work?
Instead you need to actually separate x and y.
Now, integrate both sides to get and take the exponential of both sides: where .
Yes, integrate correctly!This yields the following relationship:
Which is tantalizingly close to the proportion I was looking for, but not quite.
I don't mind the "c" being in there, but is there some way to get the y to not be squared?