System Ordinary Differential Equations (ODEs) Solved by MATLAB

28.7 The following equations define the concentrations of three reactants:
(𝑑𝑐_𝑎)/𝑑𝑡=−10𝑐_𝑎 𝑐_𝑐+𝑐_𝑏
(𝑑𝑐_𝑏)/𝑑𝑡=10𝑐_𝑎 𝑐_𝑐−𝑐_𝑏
(𝑑𝑐_𝑐)/𝑑𝑡=−10𝑐_𝑎 𝑐_𝑐+𝑐_𝑏−2𝑐_𝑐
If the initial conditions are ca = 50, cb = 0, and cc = 40, find the concentrations for the times from 0 to 3 s.
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