Question

Dead leaves accumulate on the ground in a forest at a rate of 3 grams per square centimeter per year. at the same time, these leaves decompose at a continuous rate of 85 percent per year.

a. write a differential equation for the total quantity q of dead leaves (per square centimeter) at time t:

Answer 1

The rate of change of mass density (g/cm²) per year is +3 - 0.85×q. Thus, your equation is

... q'(t) = 3 - 0.85q(t)

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No initial condition is given.