Suppose that a population grows according to a logistic model with carrying capacity 5900 and k = 0.0017 per year.(a) write the logistic differential equation for these data. dp/dt = (b) program a calculator or computer or other tool to use euler's method with step size h = 1 to estimate the population after 50 years if the initial population is 1000. (round your answer to the nearest whole ) if the initial population is 1000, write a formula for the population after years. p(t) = (d) use it to find the population after 50 years. (round your answer to one decimal place.)