Based on historical data for population growth rates and the initial number of eagles present in a region, biologists expect an eagle population to grow according to the model P(t)= 500/1+82.33e-0.162t, where t is measured in years. how many eagles were intially present. when will the population reach 150 eagles. give exact and approximate solutions.

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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.