differential equations system to be solved on matlab code

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how do i solved these set of differential equantions on matlab what is the code ? attached below is the image of the qeuations

Risposte (1)

HWIK
HWIK il 29 Nov 2021
This code should work, but you must specify your initial conditions. You might want to look into other ode solvers, as with these specs the output looks pretty stiff.
%%%%%%%% Specify your volume and initial conditions!%%%%%%%%%%%
Vspan = [0 200];
Initial_conditions = [2, 1, 0]; %In the order of Fa0, Fb0 & Fc0
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
[t, y] = ode45(@your_ode_solver_fcn,Vspan,Initial_conditions);
plot(t,y(:,1),t,y(:,2),t,y(:,3))
function out = your_ode_solver_fcn(t,in)
%Specify the input:
Fa = in(1);
Fb = in(2);
Fc = in(3);
%Define your relationships
Kc = 0.01;
Ft = Fa+ Fb+ Fc;
Co = 1;
K = 10;
Kb = 40;
ra = - (K*Co/Ft)* (Fa-Co^2*Fb*Fc^2/ (Kc*Ft^2));
Ka = 1;
Ra = Ka*Co*Fa/Ft;
Rb = Kb*Co*Fb/Ft;
%Specify the output
dFa = ra-Ra;
dFb = -ra-Rb;
dFc = -2*ra;
out = [dFa; dFb; dFc];
end

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