Dead leaves accumulate on the ground in a forest at a rate of 4 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 70 percent per year. A. Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t: dQ dt 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? Q Does the equilibrium value attained depend on the initial condition? ○ A. yes B. no
Dead leaves accumulate on the ground in a forest at a rate of 4 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 70 percent per year. A. Write a differential equation for the total quantity Q of dead leaves (per square centimeter) at time t: dQ dt 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? Q Does the equilibrium value attained depend on the initial condition? ○ A. yes B. no
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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