Organizational Growth The president of a newcampus of a university predicts that the student bodywill grow rapidly after the campus is open, with thenumber of students at the beginning of year t given byN = 4000 (0.060.4t - 1)a. How many students does this model predict forthe beginning of the second year (t = 2)?b. How many students are predicted for the beginning of the tenth year?c. What is the limit on the number of students that canattend this campus, according to the model?

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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.