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# The following system of differential equations represents the interaction between two ISBN: 9781118174920 268

## Solution for problem 4 Chapter 9.6

Applied Calculus | 5th Edition

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Problem 4

The following system of differential equations represents the interaction between two populations, x and y. dx dt = 3x+ 2xy dy dt = y + 5xy (a) Describe how the species interact. How would each species do in the absence of the other? Are they helpful or harmful to each other? (b) If x = 2 and y = 1, does x increase or decrease? Does y increase or decrease? Justify your answers. (c) Write a differential equation involving dy/dx. (d) Use a computer or calculator to draw the slope field for the differential equation in part (c). (e) Draw the trajectory starting at point x = 2, y = 1 on your slope field, and describe how the populations change as time increases.

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BIOL 120 Principles of Biology (Dr. Partain) Week 3 Notes (2/19­2/26) GENETICS Heirarchy of Genetic Information  Traits: o an inherited characteristic controlled by genes found on DNA  Chromosomes: o structural unit containing part or all of an organisms genome consisting of DNA and...

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##### ISBN: 9781118174920

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