Euler's method in matlab

If I write the model using Euler's method. Like this

clear all; close all; clc;
%value of constants
a_n=0.1;
omega_0=2;
dt=0.01;   %step size
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x(1)=1;
y(1)=1;
for i=2:1000
    x(i)=x(i-1)+((a-x(i-1)^2-y(i-1)^2)*x(i-1)-omega_0*y(i-1))*dt;
    y(i)=y(i-1)+((a-x(i-1)^2-y(i-1)^2)*y(i-1)+omega_0*x(i-1))*dt;
end

Does that mean it will give me values of x and y instead of dx/dt and dy/dt?

Answer 1

[Fabio Freschi]

Any ODE solver gives the unknown function(s) as result, not its derivative. So, yes, your results are x and y.

Note that in your solution you forgot the term