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Ayanokouji and Sakayanagi are trying to take control of the DCS building! Let A(t) and S(t) be the amount of territory (in square meters) each of them cover at a given time, respectively. These values change dynamically according to the system of differential equations with initial conditions A(0) = S(0) territory. A' = wA+S+ et S' yA+S+t 1. Assume these changes stop once someone runs out of Let (w,x,y,z) (1,-1,-1,1). Who eventually runs out of territory, and at what point in time does this happen? Suppose the second equation was S' = yA+ zS+ e² instead. Let (w, x, y, z) = (0.5, 1, 1, 2). Who eventually runs out of territory, and at what point in time does this happen?

Ayanokouji and Sakayanagi are trying to take control of the DCS building! Let A(t) and S(t) be the amount of territory (in square meters) each of them cover at a given time, respectively. These values change dynamically according to the system of differential equations with initial conditions A(0) = S(0) territory. A' = wA+S+ et S' yA+S+t 1. Assume these changes stop once someone runs out of Let (w,x,y,z) (1,-1,-1,1). Who eventually runs out of territory, and at what point in time does this happen? Suppose the second equation was S' = yA+ zS+ e² instead. Let (w, x, y, z) = (0.5, 1, 1, 2). Who eventually runs out of territory, and at what point in time does this happen?

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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Ayanokouji and Sakayanagi are trying to take control of the DCS building! Let A(t) and S(t) be the amount of territory (in square meters) each of them cover at a given time, respectively. These values change dynamically according to the system of differential equations with initial conditions A(0) = S(0) territory. A' = wA+S+ et S' yA+S+t 1. Assume these changes stop once someone runs out of Let (w,x,y,z) (1,-1,-1,1). Who eventually runs out of territory, and at what point in time does this happen? Suppose the second equation was S' = yA+ zS+ e² instead. Let (w, x, y, z) = (0.5, 1, 1, 2). Who eventually runs out of territory, and at what point in time does this happen?
Transcribed Image Text:Ayanokouji and Sakayanagi are trying to take control of the DCS building! Let A(t) and S(t) be the amount of territory (in square meters) each of them cover at a given time, respectively. These values change dynamically according to the system of differential equations with initial conditions A(0) = S(0) territory. A' = wA+S+ et S' yA+S+t 1. Assume these changes stop once someone runs out of Let (w,x,y,z) (1,-1,-1,1). Who eventually runs out of territory, and at what point in time does this happen? Suppose the second equation was S' = yA+ zS+ e² instead. Let (w, x, y, z) = (0.5, 1, 1, 2). Who eventually runs out of territory, and at what point in time does this happen?
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