But for the sake of separable differential equations or differential equations in general, you can treat this derivative in Leibniz notations like fractions, and you can treat these differentials like quantities because we will eventually integrate them. So let's do that. So we want to put all the P's and dP's on one side, and all the things that involve t or that I guess don't involve P on the other side. So we could divide both sides by P. We could divide both sides by P. And so we'll have one over P. You have one over P here, and then those will cancel. And then you can multiply both sides times dt. We could multiply both sides times dt. Once again, treating the differential like a quantity, which it really isn't a quantity.