Population y grows according to the equation dy/dt=ky, where k is a constant and t is measured in years. if the population doubles every 10 years, then the value of k is

The value of is approximately 14.426.

According to statement, population grows exponentially based on the fact that it is doubled every 10 years. The solution of this differential equation is:

(1)

Where:

If we know that and , then the proportionality ratio is:

The value of is approximately 14.426.

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1

step-by-step explanation:

it's the only multiple of both and the least

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step-by-step explanation: