# Science:Math Exam Resources/Courses/MATH102/December 2012/Question C 04 (c)

MATH102 December 2012
Other MATH102 Exams

### Question C 04 (c)

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 50 percent per year.

(c) Sketch the graph of the solution to your differential equation showing that the mass of dead leaves tends toward a steady state assuming that initially (t = 0) there are no leaves on the ground.

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