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Consider the population model d P dt = 0.4P 1 P 230 ,

Differential Equations 00 | 4th Edition | ISBN: 9780495561989 | Authors: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall ISBN: 9780495561989 199

Solution for problem 3 Chapter 1.1

Differential Equations 00 | 4th Edition

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Differential Equations 00 | 4th Edition | ISBN: 9780495561989 | Authors: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall

Differential Equations 00 | 4th Edition

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Problem 3

Consider the population model d P dt = 0.4P 1 P 230 , where P(t) is the population at time t. (a) For what values of P is the population in equilibrium? (b) For what values of P is the population increasing? (c) For what values of P is the population decreasing?

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Spencer Kociba MATH 200-005 Lecture Notes Week 4 10/11/2016 Ch. 13.1 (continued) ● Graphs of Functions of 2 variables ○ 2 Space 3 Space ○ ● 3 Space surface is similar to a 2D shape that is twisted and warped ● Level Curves ○ A “topographical map” of the curve on an xy plane ○ Ex. f(x,y) =√ x + y ■ ■ Black: k=0 ■ Blue: k=1 ■ Red: k=2 ■ Peak is at k=0 ■ Shape=Cone with its point at (0,0,0) increasing in radius as z moves further to the left on the number

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Chapter 1.1, Problem 3 is Solved
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Textbook: Differential Equations 00
Edition: 4
Author: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall
ISBN: 9780495561989

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Consider the population model d P dt = 0.4P 1 P 230 ,