an exponential equation, which conforms to the law of uninhibited growth, can model the population of a certain town. a. if there are 600 inhabitants initially, and there are 1500 people after 8 years, find k, the growth rate, rounded to 3 decimal places. b. how many inhabitants will the town have after 12 years? c. when will the population of the town reach 2800?

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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.