6. Without solving for y(t), find the steady states of the logistic equation 4y - y², and determine whether each steady state is stable, unstable, or semi-stable. Based on this information, make approximate graphs of solutions y(t) starting from y(0) = −1, y(0) = 2, and y(0) = 5. You can graph all the solutions on the same axes (but label them clearly). 7. Same question for and y(0) = 5. dy dt 1 dy = y(y-2)(y-4), and starting points y(0) = −1, y(0) = 1, y(0) = 3, dt

6. Without solving for y(t), find the steady states of the logistic equation 4y - y², and determine whether each steady state is stable, unstable, or semi-stable. Based on this information, make approximate graphs of solutions y(t) starting from y(0) = −1, y(0) = 2, and y(0) = 5. You can graph all the solutions on the same axes (but label them clearly). 7. Same question for and y(0) = 5. dy dt 1 dy = y(y-2)(y-4), and starting points y(0) = −1, y(0) = 1, y(0) = 3, dt

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.EA: Extended Application Managing Renewable Resources

Problem 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...

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