So while working on my game, I decided that I would have a speed variable increase in the fashion
speed += 1/speed;
with the goal being that in the beginning it increases fast and then it increases slow as it gets higher. However this is being called each frame and I need to make it framerate independent, however just scaling it based on time doesn't give the same results throughout. How would I go about creating a framerate independent increase that dampens like this?