Biomass is a measure of the amount of living matter in an ecosystem. Suppose the biomass s(t) in a given ecosystem increases at a rate of about 3.5 tons per year, and decreases by about 1.9% per year. This situation can be modeled by the differential equation

(a) Solve the differential equation.

(b) Use a graphing utility to graph the slope field for the differential equation. What do you notice?

(c) Explain what happens as t → ∞.

Transcribed Image Text:

ds dt = 3.5 0.019s.