The population p(t) of a bacteria culture is given by p(t) = -1200tˆ2 + 36000t + 70000, where t is the time in hours after the culture is started. Determine the time (s) at which the population will be greater than 310,000 organisms?

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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.