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ELEMENTRY DIFFERENTIAL EQUATIONS 2.4

# ELEMENTRY DIFFERENTIAL EQUATIONS 2.4 - were to be zoomed...

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ELEMENTRY DIFFERENTIAL EQUATIONS CHAPTER 2 2.4 PROBLEMS 1- 3-

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5-
7-

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9-
11- 13-

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15-

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17-
19- We use technology to draw a direction field and plot several solutions: It appears that all solutions approach 0 asymptotically as t increases, regardless of their value at t = 0.

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From the graph drawn above, it appears that, as t approaches infinity, y tends to zero. However, if the graph

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Unformatted text preview: were to be zoomed out , we see that if > 9 the solutions would begin to go toward zero and then curve upward and approach infinity. Thus as t increases, if and if 21-23-25-27-29-31-33-...
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