The size P of a certain insect population at time t​ (in days) obeys the function P(t)=200e0.07t. ​(a) Determine the number of insects at t equals 0t=0 days. ​(b) What is the growth rate of the insect​ population? ​(c) What is the population after 10​ days? ​(d) When will the insect population reach 240 question mark240? ​(e) When will the insect population​ double?

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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.