consider the system given by: $x'_{1}=9x_{1}+24x_{2}+5\cos t-\dfrac{1}{3}\sin t$ $x'_{2}=-24x_{1}-51x_{2}-9\cos t+\dfrac{1}{3}\sin t$ with initial values $x_{1}(0)=\dfrac{4}{3}$ and $x_2(0)=\dfrac{2}{3}$ Implement the RK4 algorithm in MATLAB or JAVA to solve the system from t=0 to t=20. Let h=1/1000,1/25, 1/20,1/15,4/55, compute $x_2(20)$ in each case. Thanks, i don't even try because i really don´t like numerical analysis nor applied math, so i don´t know how to do that in a programming language, i would sincerely appreciate your help on this, i don´t know how to proceed on that so i would appreciate even a short explanation of what i need to do or how to do that, if you consider this question do not belongs to this stack exchange please tell me and i would retry it from here and put in on a programming or CS forum.
THANKS A LOT