Concept explainers
Exercises 9-14 refer to the predator-prey and the modified predator-prey systems discussed in the text (repeated here for convenience):
(i)
(ii)
11. Suppose the predators discover a second, unlimited source of food, but they still prefer to cat prey when they can catch them. How would you modify these systems to include this assumption?
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Differential Equations
- The systems in Exercises 25 and 26 exhibit a lower triangular pattern that makes them easy to solve by forward substitution. (We will encounter forward substitution again in Chapter 3.) Solve these systems. x=22x+y=33x4y+z=10arrow_forwardConsider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the system have exactly one solution?arrow_forwardIn Exercises 23 and 24, solve the system of equations in Exercises 21 and 22 by using algebraic methods. Refer to Exercise 21. 4x-3y=-3 x+2y=13arrow_forward
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