A population of bacteria decreases according to the following model: P(t) = 20(0.95)^t where P(t) is the population in thousands and t is the number of days since January 1st (t = 0 represents January 1st) In how many days will the number of bacteria decrease to a half of the original amount?

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A: The rate of change of y with respect to (w.r.t.) is given by derivative of y w.r.t. x i.e., dydx.

Q: What are the blanks?

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Q: A report tells us that in 2009, there were 870 gray wolves in Idaho, but that the population…

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A: Solve

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A: Please refer to the image below

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A:

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.