The initial population size of rock ptarmigans in an area is 500 ptarmigans. The growth rate is 0.2 and the carrying capacity is 8000 ptarmigans. The authorities in the area have announced that it is possible to start hunting in the area when the size of the population has reached 5000 ptarmigans. Assume that time is measured in years. After how many years can a ptarmigan be allowed to hunt in the area if we assume that the population size is in accordance with the logistic equation? )?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.