Sketch the trajectory of the complex-valued function and find its period.
The period is .
The Euler’s formula is
Consider the given complex valued function:
By using Euler’s formula, the function can be written as follows.
The function is sketched in figure 1 as follows.
Hence, the period for the function is .
Question: Consider the interaction of two species in a habitat. We are told that the change of the populations can be moderated by the equation
where time is a measured in years.
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