(a) Solve the Gompertz equation dy/dt = ryln(K/y) subject to the initial condition y(0) = yo Hint: You may wish to let u = ln(y/K)

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(a) Solve the Gompertz equation
dy/dt = ryln(K/y)
subject to the initial condition y(0) = yo
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 yar, K = 80.5 x 10^6 kg, yo/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 t at which y(t) = 0.75K.