5. (20 points) In a certain tropical forest "litter" (mainly dead vegetation such as leaves and vines) forms on the ground at the rate of 10 grams per square centimeter per year. At the same time, however, the litter is decomposing at the rate of 80% per year. Let L(t) be the amount of litter (in grams per square centimeter)present at time t.1:CC a) Find a differential equation satisfied by L(t), then solve this differential equation. Show that the mathematical model predicts that the amount of litter in the forest will eventuallystabilize. What is the "equilibrium level" of the litter in the forest?