After t hours there are P(t) cells present in a culture, where P(t) = 2000e 02t. (a) (b) (c) (d) How many cells were present initially? Give a differential equation satisfied by P(t). When will the population double? When will 8,000 cells be present? (a) There were cells present initially. (Type a 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.