Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of them move to state A. Further, assume at t = 0 years, there are 2 million residents living in state A and 5 million residents living in state B, and let æn and yn represent the populations (in millions) of the states A and B, respectively, at time t = n years. Given that Xn a 2 Yn d find the value of the number c.

Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of them move to state A. Further, assume at t = 0 years, there are 2 million residents living in state A and 5 million residents living in state B, and let æn and yn represent the populations (in millions) of the states A and B, respectively, at time t = n years. Given that Xn a 2 Yn d find the value of the number c.

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

Suppose that each year, 80% of residents living in state A stay in state A, while 20% of them
move to state B. Also, 70% of the residents living in state B stay in state B, while 30% of
them move to state A. Further, assume at t = 0 years, there are 2 million residents living in
state A and 5 million residents living in state B, and let æn and yn represent the populations (in
millions) of the states A and B, respectively, at time t = n years. Given that
Xn
a
2
Yn
d
find the value of the number c.

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