Program a calculator or computer to use Euler’s method with step size h = 1 to estimate the population after 50 years if the initial population is 1000. (Round the answer to the nearest whole number.

Suppose that a population grows according to a logistic model with carrying capacity 5900 andk = 0.0017 per year.

(a) Write the logistic differential equation for these data.

(b) Program a calculator or computer to use Euler’s method with step size h = 1 to estimate the population after 50 years if the initial population is 1000. (Round the answer to the nearest whole number.)
p(50)

(C) If the initial population is 1000, write a formula for the population after years.

(D) Use it to find the population after 50 years. Compare with your estimate in part (c). (Round the answer to one decimal place.) P(50)

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