Question: More than one solution for a special case


Hi all, 


How could I be certain about the correctness of these answers? I am sure that the variation of the parameter, C1, must be monotonic; just in one dircetion... increasing or decreasing. As you could see from the last result in the first command, the data are false... However, by the second method, the answer is different from that of the first!!!? Both of them are derived by 'fsolve'
In the third way, the command dsolve, produced an array of resutls, C1 and Nu, and there is just one correct solution... It is confusing.

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