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A plot like that in the reference provided in the Question can be obtained as follows. Solve the given equation (with x normalized to a for convenience and without loss of generality): Reduce[x == Exp[1/x]/(5 - 5 Exp[1/x]), x] (* Element[C[1], Integers] && -1 + E^x^(-1) != 0 && -5 + ProductLog[C[1], 5*E^5] != 0 && x == (-5 + ...



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