Determine the solution to the kinetic system where the reaction rates are k 1 , k 2 , and k 3 (in the order written here) The corresponding ODEs that you need to solve are The initial condition is a concentration A0 and no B, C, or D Write a MATLAB program that plots the solution up to t 10 for k 1...

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Determine the solution to the kinetic system where the reaction rates are k 1 , k 2

Question:

Determine the solution to the kinetic system A B C B D

where the reaction rates are k₁, k₂, and k₃ (in the order written here). The corresponding ODEs that you need to solve are dA dt dB dt dC dt -kA = kA - kB - k3B = KB

dD dt = k3B

The initial condition is a concentration A0 and no B, C, or D.Write a MATLAB program that plots the solution up to t = 10 for k₁ = 2, k₂ = 0.5, k₃ = 0.3, and A₀ = 1. Now write a MATLAB program that uses RK4 to integrate the system. Pick a time step so that the solution is stable and the error is small. Your program should plot the numerical solution and the analytical result together.