But once again, for the sake of this, we can do this. And when we do that, we would be left with one over P dP is equal to K dt. Now we can integrate both sides. Because this was a separable differential equation, we were able to completely separate the P's and dP's from the things involving T's, or I guess the things that aren't involving P's. And then if we integrate this side, we would get the natural log of the absolute value of our population. And we could say plus some constant if we want, but we're gonna get a constant on this side as well. So we could just say that's going to be equal to K times T plus some constant.