Solve 2nd order ordinary differential equations (Runge Kutta)

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Daniel Jordan
Daniel Jordan 2022-4-15
评论： Torsten 2022-4-15
I have a second order differential equation which I need to solve, and plot the first 6 seconds of x(t). I wanted to use the Runge Kutta method but I'm struGgling to get my head around how to do it. Here's my equation:
d2xdt2=100*sin(8*pi*t)-(100*x)-2*dxdt
x(0) = 0
dxdt(0) = 0
I've tried using ode45 but I'm not sure how to define the function, ideally I want to use a manual method, ie recreate the Runge Kutta algorithm in MATLAB.
Any help is appreciated
Thanks

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