Separable Differential Equations Worksheets Page 6

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Calculus Maximus
Notes 5.1: Separable Diff EQ
Example 10:
Suppose the amount of oil pumped from one of the canyon wells in Whittier, California, decreases at the
continuous rate of 10% per year. After how many years will the well’s output fall to one-fifth of its present
level?
Example 11:
Suppose that a population of fruit flies grows in proportion to the number of fruit flies in the population. If
there were 100 flies after the second day and 300 flies after the fourth day, how many flies were in the
original population?
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