Chapter 9, Problem 33P

The growth of a fish is often modeled by the von Bertalanffy growth model:

$\frac{dw}{dt}=a{w}^{2/3}-bw$

where w is the weight and a and b are constants. Solve the equation for w for the case a = 5lb¹/3. b = 2day-1, and w(0) = 0.5 lb. Make sure that the selected time span is just long enough so that the maximum weight is approached. What is the maximum weight for this case? Make a plot of w as a function of time.