1550078481-Ordinary_Differential_Equations__Roberts_

564 Ordinary Differential Equations

15. c.

Superior

Michigan

Huron

Erie

Ontario

Time for

Pollution to Reach

.43 .33

43 years 99 years

7 years 16 years

12 years 25 years

3 years 16 years

5 years 14 years

15. d. (i)


16. d.

(

.002.002 )

c(t) = cc(t) + .002

.002

.002

Time for

Pollution to Reach

Superior

Michigan

Huron

Erie

Ontario

.43 .33

190 years

31 years

49 years

39 years

36 years

403 years

65 years

140 years

72 years

104 years

Chapter 10 APPLICATIONS OF SYSTEMS OF

EQUATIONS

Exercises 10.1 Richardson's Arms Race Model

1. Unstable arms race


2. a. (i) equilibrium point in first quadrant (ii) stable arms race

b. (i) equilibrium point in third quadrant (ii) unstable arms race