1) The development of a new amusement park on the outskirts of a city is expected to increase the city’spopulation at a rate ofR(t) = 4500√t+ 1000 (0≤t≤10)people per year, where "t" is the number of years from the start of construction. (a) Assuming that the population before construction begins is 30,000 people, compute a model P(t) for the projected population of the city "t" years after construction begins

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Q: c) Solve the model for the detection of diabetes for critically damped case.

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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.