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How to do regression in Python using uncommon or arbitrary equations?

I am trying to model a relationship in Python that has a decay in the y value as time increases. The relationship is nonlinear, however I do not know what the underlying equation is. I would like to regress multiple equations to see which has the best fit, such as y = a / (1 + bt) + c / (1 + dt) or y = a / (1 + e^(b-ct)) + d / (1 + et), etc. Is there any way to do this in Python?