The growth of a fish is often modeled by the von Bertalanffy growth model:
dw/dt = aw2/3 - bw
where w is the weight and a and b are constants. Solve the equation for w for the case a = 5/b1/3, b = 2 day-1, and w(0) = 0.5lb. 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.