Let C(t) be the number of cougars on an island at time t years (where t > 0). The number of cougars is increasing at a rate directly proportional to 3500 - C(t). Also, C(0) = 1000, and C(5) = 2000.
Let C(t) be the number of cougars on an island at time t years (where t > 0). The number of cougars is increasing at a rate directly proportional to 3500 - C(t). Also, C(0) = 1000, and C(5) = 2000.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A. Find C(t) as a function of t only.
B. Calculate C(10).
C. Find the limit as t --> infinity of C(t), and explain its meaning.
D. On the axes provided, draw a graph showing the number of cougars as a function of time:
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Transcribed Image Text:1. Let C(t) be the number of cougars on an island at time t years (where t > 0). The number of cougars
is increasing at a rate directly proportional to 3500 - C(t). Also, C(0) = 1000, and C(5) = 2000.
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