Hi, I'll start calculus next year but I am trying to self-teach.

I was wondering what is called a function in which the increment of y (derivative) is not based on x but on y itself.

If that is not clear, consider a function in which x is time and y is space t*v, if v =1 then the derivative of space is constant = 1.

If we consider the increment of space with respect to space, then the increment is not constant and is 1/y. so y(t+1)= y(t)+1/y

Probably this is a mess, I hope you can help me and say it this exists and has a name or how it shoud be formulated.

Thanks for your help.