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I have a system of ODE as follows

x1_dot=f1(t)-ax1

x2_dot=f2(t)-ax2

x3_dot=f3(t)-ax3

f1,2,3(t) are unknown nonlinear functions of time, a is constant and unknown, x1,2,3 and their derivatives are given. How can I estimate the parameter a from the given information?

Thanks

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