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Explanation for complex term in Solve[ ] output?

Posted 4 months ago
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Dear Madame / Sir, I have the following question (may be easy for you but unfortunately not for me). Where the 2πic (where c is belonging to Z) is coming from as imaginary part of the solution of an exponential equation ? Attached is the .nb. I know even manually how to solve for the real part but not for the imaginary one.

Thanx !

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