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There appears to be two issues. First, you need to specify $f[t]$ as an input. Second, terms such as the ones below are not same. SameQ[(q1^′′)[t], Derivative[2][q1][t]] False After those two fixes, you get an answer. eqs = {2 (k1 + k2) q1[t] - 2 k2 q2[t] + 2 c1 Derivative[1][q1][t] + 2 c2 (Derivative[1][q1][t] - Derivative[1][q2][t]) + l1 (g m2 ...


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Edit: I added what I hope is a real answer (bad pun intended). The linear model needs to be made explicit as there can be models that might look similar but are really parameterized very differently and would imply possibly very different analysis procedures and interpretation of results. Using the notation from @whuber 's answer from CrossValidated, if ...


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The default assumption that NonlinearModelFit makes to compute these statistics, is that the residuals are normally distributed. You can access the residuals easily with fit["FitResiduals"] and obviously these are also complex values now, so what does it mean exactly to say that these residuals are normally distributed? Normal distributions generate real ...


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