How to get the function after solving the differential equation using Eulers method?

Question

Yokuna 2021-6-21

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https://ww2.mathworks.cn/matlabcentral/answers/861420-how-to-get-the-function-after-solving-the-differential-equation-using-eulers-method

编辑： Sergey Kasyanov 2021-6-21

采纳的回答： Sergey Kasyanov

How to get the value of x1(t) and x2(t) from the set of equations?

Initial condition is x1=1 and x2=2

x1dot=x1 -x2;

x2dot=-x1+x2;

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Answer 1

Sergey Kasyanov 2021-6-21

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https://ww2.mathworks.cn/matlabcentral/answers/861420-how-to-get-the-function-after-solving-the-differential-equation-using-eulers-method#answer_729715

编辑：Sergey Kasyanov 2021-6-21

在 MATLAB Online 中打开

Hello!

A = [1, -1
     -1, 1];
x0 = [1
      2];
dx = [0
      0];
time_step = 0.1;
time = 0 : time_step : 10;
x = [x0, nan(2, time(end) / time_step)];
%solving
for i = 1:size(x, 2)-1
    dx = A*x0; %matrix form of equation system
    x(:, i+1) = x(:, i) + time_step*dx;
end
% plot results
figure; hold on;
plot(time, x(1,:), 'DisplayName', 'X1');
plot(time, x(2,:), 'DisplayName', 'X2');
xtitle('time');
legend show