In a protected environment, the population P of a certain endangered species recovers over time t (in years) according to the modelP1t2 = 30(1.149)t (a) What is the size of the initial population of the species?(b) According to the model, what will be the population of the species in 5 years?(c) According to the model, what will be the population of the species in 10 years?(d) According to the model, what will be the population of the species in 15 years?(e) What is happening to the population every 5 years?

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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.