1. World Wildlife fund (WFO) releases 25 Leopards into a game preserve in Kyrgyzstan. After 2 years, there are 39 leopards in the preserve. The WFO game preserve park in Kyrgyzstan has a carrying capacity of 200 panthers. a. Write a logistic equation that models the population of leopard in the preserve. b. Find the population after 5 years. c. When will the population reach 100? d. Write a logistic differential equation that models the growth rate of the leopard population. e. At what time is the leopard population growing most rapidly? Explain.

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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.