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.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
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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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
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