26. If 4h = kM², show that typical solution curves lookas illustrated in Fig. 2.2.14. Thus if xo 2 M/2, thenx(1) → M/2 as t →+o. But if xo < M/2, then x(t) = 0after a finite period of time, so the lake is fished out. Thecritical point x = M/2 might be called semistable, becauseit looks stable from one side, unstable from the other.x= M/2x = 0FIGURE 2.2.14. Solution curves forharvesting a logistic population with4h = kM2.

Answered: Image /qna-images/answer/be838922-4187-4ae0-b265-de0ca6fd00ec.jpg

Answered: 26. If 4h = kM², show that typical…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Draw the slope fields of dy/dt = -t2y at integer values ( y is greater than or equal to -5 and less than or equal to 5 and x is greater than or equal to -5 and less than or equal to 5). Sketch the solution curves with initial values y(0) = 2 y(0) = -2 y(-4) = 3 y(-4) = -3
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