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 75 percent per year.

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

b. sketch a solution to your differential equation showing that the quantity of dead leaves tends toward an equilibrium level. assume that initially (t=0) there are no leaves on the ground.

what is the initial quantity of leaves?

what is the equilibrium level?

does the equilibrium value attained depend on the initial condition?

a. yes
b. no