.30 elves exit Chocolatetown (not from Vanilaville) • 20% of elves move from Chocolatetown to Vanillaville 50% of elves move from Vanillaville to Chocolatetown 10 elves enter Vanillaville (not to Chocolatetown) Let r(t) and y(t) be the number of elves in Chocolatetown and Vanillaville respectively, where t is in days and let x(t) = = [FO] Suppose our model is x' = Ax+f

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Please help with this problem: We will model the population of elves between Chocolatetown and Vanillaville. Every day, we simultaneously have: (look to bullet points below)

With this information in the image, please find A and f and include a diagram 

30 elves exit Chocolatetown (not from Vanilaville)
20% of elves move from Chocolatetown to Vanillaville
50% of elves move from Vanillaville to Chocolatetown
10 elves enter Vanillaville (not to Chocolatetown)
Let r(t) and y(t) be the number of elves in Chocolatetown and
Vanillaville respectively, where t is in days and let x(t)
[x (1)]
[3(1)]
Suppose our model is x' = Ax + f
Transcribed Image Text:30 elves exit Chocolatetown (not from Vanilaville) 20% of elves move from Chocolatetown to Vanillaville 50% of elves move from Vanillaville to Chocolatetown 10 elves enter Vanillaville (not to Chocolatetown) Let r(t) and y(t) be the number of elves in Chocolatetown and Vanillaville respectively, where t is in days and let x(t) [x (1)] [3(1)] Suppose our model is x' = Ax + f
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,