In biology, life is the avoidance of equilibrium, and the attainment of equilibrium is death, but knowing whether equilibrium lies in favor of reactants or products under certain conditions is a good indication of the feasibility of a biochemical reaction (Atkins and de Paula, in Atkins’ Physical Chemistry, Oxford University Press).
To see the application of differential equations in chemistry, I recommend watching the video from MIT OpenCourseWare on ‘Thermodynamics & Kinetics’ by Prof. Keith A. Nelson and Prof. Moungi Bawendi. In this video below, he explains the kinetics of reversible reactions in a lucid way. A-level chemistry in the UK does not have much mathematics in it which was not the case when I was a high school student in India.
Chemical Kinetics and Chemical Equilibrium are related topics. Gultekin Cakmakci from Turkey has worked on chemistry education: