Solve the differential equation. 
Definitions:
Catalysts
Compounds that accelerate the speed of chemical reactions without being used up during the reaction.
Enzyme-Catalyzed Reaction
A chemical reaction that is accelerated by an enzyme, significantly increasing the reaction rate without being consumed in the process.
Allosteric Enzyme Regulation
A process by which an enzyme's activity is regulated through the binding of a molecule at a site other than the enzyme's active site.
Allosteric Regulators
Substances that affect protein function by binding to allosteric sites.
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