Coundry uat are using computerized checkout system is described by the initial-value problem - N(1 - 0.0008N), N(0) = 1. dt (a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time. supermarkets By hand, sketch a solution curve of the given initial-value problem. 1200 1200 600 600 1000 1000 500 500 800 800 400 400 600 600 300 300 400 400 200 200 200 200 100 100 5 10 15 20 10 15 20 5 10 15 20 5. 10 15 20 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). N(t) - How many supermarkets are expected to adopt the new technology when t- 107 (Round your answer to the nearest integer.) supermarkets

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem
- N(1 - 0.0008N), N(0) = 1.
dt
(a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time.
supermarkets
By hand, sketch a solution curve of the given initial-value problem.
N
N
1200
1200
600
600
1000
1000
500
500
800
800
400
400
600
600
300
300
400
400
200
200
200
200
100
100
5
10
15
20
5
10
15
20
10
15
20
5
10
15
20
(b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a).
N(t) =
How many supermarkets are expected to adopt the new technology when t= 10? (Round your answer to the nearest integer.)
supermarkets
Transcribed Image Text:The number N(t) of supermarkets throughout the country that are using a computerized checkout system is described by the initial-value problem - N(1 - 0.0008N), N(0) = 1. dt (a) Use the phase portrait concept of Section 2.1 to predict how many supermarkets are expected to adopt the new procedure over a long period of time. supermarkets By hand, sketch a solution curve of the given initial-value problem. N N 1200 1200 600 600 1000 1000 500 500 800 800 400 400 600 600 300 300 400 400 200 200 200 200 100 100 5 10 15 20 5 10 15 20 10 15 20 5 10 15 20 (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in part (a). N(t) = How many supermarkets are expected to adopt the new technology when t= 10? (Round your answer to the nearest integer.) supermarkets
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