.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

.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

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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

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