# Answer to Question #14970 in Differential Equations for Julia

Question #14970

Consider the chemical process autocatalysis. Let reaction speed constant linearly depends on concentration. Write a differentiable equation for the speed of a reaction.

Expert's answer

Let C be the concentration and S(C) be the reaction speed. Then

S(C) = aC + b,

where a and b are constants. So, the differential equation for the speed of a reaction is

S'(C) = a.

S(C) = aC + b,

where a and b are constants. So, the differential equation for the speed of a reaction is

S'(C) = a.

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