Dear Dr. William, Thanks for your attention, but what you stated is not really my problem. Since the code above is just a part of my whole code, the software also does not reflects such 'NameError' to me. Moreover, as I stated, it even works without any errors when A[t] equals zero. By using 'A_elements_dict', I just want to illustrate that 'A' is a sparse matrix, which its non-zero elements are determined by a dictionary, and are linear terms of 't'. What I (maybe!) need to know is 1) Why this error raised at all, since (despite usual) sage does not provide any more description for the error. 2) For such an ODE systems, is *ode_solver()* an appropriate choice? I hope I could've stated what I mean!! Thank you again, Yours Truly, SMH
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