A population of insects currently numbers 22,400 and is increasing at a rate of R(t) = 1205e0.14 insects/week. If the survival function for the insects is s(t) = e-0.2t, where t is measured in weeks, how many insects are there after 12 weeks? (Round your answer to the nearest whole number.)

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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.