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lexiiiee
lexiiiee
11.10.2020 • 
Mathematics

Let S(t) represent the amount of a chemical reactant present at time t, where t≥0. Assume that S(t) can be determined by solving the initial value problem S′=−aSK+S and S(0)=S0, where a,K, and S0 are positive constants. Obtain an implicit solution of the initial value problem. (The differential equation, often referred to as the Michaelis-Menten equation, arises in the study of biochemical reactions.) Enter the constant S0 as S0 (with a zero, not the letter O).

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