How to solve ODE function given as array of numbers
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I have differential equation dx/dt=f(x) as an array of numbers say x=[0 0.785398163397448,1.57079632679490,3.14159265358979,2.35619449019235,6.28318530717959] and f(x)=[0,0.707106781186548,1,1.22464679914735e-16,0.707106781186548,-2.44929359829471e-16] (note: x is a function of time and f(x) is a periodic function). How can I solve this ODE without going through fitting f(x) first? I am looking for any matlab technique that can be used to do such kind of even for complex array of numbers.
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