(a) Solve the Gompertz equationdy/dt = ry ln(K/y),subject
Chapter 2, Problem 17(choose chapter or problem)
(a) Solve the Gompertz equationdy/dt = ry ln(K/y),subject to the initial condition y(0) = y0.Hint:You may wish to let u = ln(y/K).(b) For the data given in Example 1 in the text (r = 0.71 per year, K = 80.5 106 kg,y0/K = 0.25), use the Gompertz model to find the predicted value of y(2).(c) For the same data as in part (b), use the Gompertz model to find the time at whichy() = 0.75K.
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