# Differential Equation (Application)

The rate at which enzyme A is converted to enzyme B is governed by the differential equation where denotes the concentration of enzyme B produced after hours.

Here and are the initial concentrations of enzyme A and enzyme B respectively, while is a positive constant.  If the initial concentrations, and , respectively, are 100 and 5 moles/litre, find the equation giving the concentration of enzyme B produced in the reaction after hours when the concentration of enzyme B produced in the first hour is 10 moles/litre.

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 44: Question 6, p. 132)

## Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.