Dead leaves accumulate on the ground in a forest at a rate of 5 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 65 percent per year. A. Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t:dt/dQ=? 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? Q (0) = ? What is the equilibrium level? Qeq=?
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