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Mathematics, 16.10.2019 20:00 jodonw5616

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 75 percent per year. a. write a differential equation for the total quantity qof dead leaves (per square centimeter) at time t: dqdt=equation editorequation editorb. 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)=equation editorequation editorwhat is the equilibrium level? qeq=equation editorequation editordoes the equilibrium value attained depend on the initial condition? a. yesb. no

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