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Solving the inverse problem for an ordinary differential equation using conjugation

Solving the inverse problem for an ordinary differential equation using conjugation

We consider the following inverse problem for an ordinary differential equation (ODE): given a set of data points $ P = \{(t_i,x_i),\; i = 1,\dots,N\} $, find an ODE $ x^\prime(t) = v (x) $ that admits a solution $ x(t) $ such that $ x_i \approx x(t_i) $ as …