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HOW TO SOLVE 2 EQUATION ODE USING ODE45 IN MATLAB?

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My equation is
I need to solve it by using ODE45. I dont know how to put in my matlab coding since it have 2 equation.
Thanks in advance for your help.
  2 Comments
James Tursa
James Tursa on 7 Jun 2021
What have you tried so far? What specific problems are you having with your code? Have you looked at the examples in the ode45 doc for how to handle multiple equations?
emyleana adnan
emyleana adnan on 8 Jun 2021
This is what i have tried so far. It show me alot of error.
clear
clc
f = @(t,y) [y(1); 0.303*y(1)-0.557*y(1)^2+0.260*y(2)*y(1); y(2); 0.0345*y(2)-(1.18*(10^(-7))*y(2)^2)+(3.55*(10^(-14))*y(1)*y(2))];
y(1) = 0.0718;
y(2) = 0.225;
Y0 = [0.0718,0.225];
tspan = [0 5];
[T,Y] = ode45(f,tspan,Y0);
This is error that it state

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Answers (1)

Stephan
Stephan on 8 Jun 2021
f = @(t,y) [0.303*y(1)-0.557*y(1).^2+0.260*y(2).*y(1);...
0.0345*y(2)-1.18e-7*y(2).^2+3.55e-14*y(1).*y(2)];
Y0 = [0.0718,0.225];
tspan = [0 5];
[T,Y] = ode45(f,tspan,Y0);
plot(T,Y)

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