Suppose that a certain population has a growth rate that varies with time and that this population satisfies the differential equation dy dt (0.5+sin(t))y Suppose that the growth rate is replaced by its average value 1/10. Determine the doubling time T in this case.

Q: ) Find the first derivative: b) y = log7 v1+x

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Q: A bank account that earns 5% interest compounded continuously has an initial balance of zero. Money…

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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.