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P' (t) = 200 + kt³, where k ‡ 1 is a positive constant. O P' (t) = 200 ++³ D' (t) 200 43

P' (t) = 200 + kt³, where k ‡ 1 is a positive constant. O P' (t) = 200 ++³ D' (t) 200 43

Advanced Engineering Mathematics
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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Every year, the population of squirrels in Ireland increases at a constant rate of 200 squirrels/year. At the same time, throughout the year squirrels are leaving Ireland to live in Scotland at a rate of t3 squirrels/year. Let P(t) be the population of the squirrels in Ireland.

Which of the following differential equations could describe this scenario?

P' (t) = 200 + kt³, where k ‡ 1 is a positive constant. OP' (t) = 200 +t³ OP' (t) = 200- t³ OP' (t) = 200 - kt³, where k 1 is a positive constant.
Transcribed Image Text:P' (t) = 200 + kt³, where k ‡ 1 is a positive constant. OP' (t) = 200 +t³ OP' (t) = 200- t³ OP' (t) = 200 - kt³, where k 1 is a positive constant.
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