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

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Shiv
Shiv 2021 年 6 月 21 日
編集済み: Sergey Kasyanov 2021 年 6 月 21 日
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;

採用された回答

Sergey Kasyanov
Sergey Kasyanov 2021 年 6 月 21 日
編集済み: Sergey Kasyanov 2021 年 6 月 21 日
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

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