runge kutta method for differantial equations systems

Question

Beyza Taka 2021-2-9

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/740267-runge-kutta-method-for-differantial-equations-systems

编辑： Jan 2021-2-9

How can I solve following differential equations systems and display the charts for the variables y1 and y2 as a function of time for t between 0 to 0.1 s? (with runge kutta method)

dy1/dt = (10sin(314t)-5y1-y2) / 0.01

dy2/dt = 1000y1

dp:the initial conditions are written yi(0)

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Answer 1

Jan 2021-2-9

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/740267-runge-kutta-method-for-differantial-equations-systems#answer_618747

编辑：Jan 2021-2-9

在 MATLAB Online 中打开

y0 = [1, 2];
[T, Y] = ode45(@OdeFcn, [0, 0.1], y0);
plot(T, Y);
function dy = OdeFcn(t,y)
dy = [(10 * sin(314 * t) - 5 * y(1) - y(2)) / 0.01; ...
      1000 * y(1)];
end