Multiple Choice: The population
Notice that the given equation is a derivative. It gives information about the rate of change of the population. But what we want to know is information about the actual population. How do we undo a derivative?
It is necessary to use implicit integration because the derivative is in terms of time, but time does not appear in the equation.
Separate the sides:
Integrate both sides.
Combine the constants of integration.
Evaluate the given point to solve for
Substitute in the value of