2. Country X decides to run a simulation to determine what would happen if they went to war with country Y. Both are small countries within range of each others artillery assets and so they model the potential engagement as the following dynamical system: dr -5.6ry dy --7.0ry dt for troop numbers zo = 12,000 and yo-15,000 (a) What will be the outcome of this engagement? (b) X is not satisfied by the simulation and investigates the possibility of a direct land engagement instead. They simulate a different battle plan: They will start with an artillery bombardment exactly as detailed above until they have eliminated half of Y's forces. The remaining forces of X then will cross the border and engage Y's forces who will be unprepared for the encounter, represented by the following dynamical system: dr -2.2y dt dy = -5.3r dt What is the outcome of this encounter? How many troops does the victor have remainine?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Country X decides to run a simulation to determine what would happen if they went
to war with country Y. Both are small countries within range of each others artillery
assets and so they model the potential engagement as the following dynamical
system:
dr
-5.6ry
de
dy
--7.0ry
dt
for troop numbers z, 12,000 and yo-15,000
(a) What will be the outcome of this engagement?
(b) X is not satisfied by the simulation and investigates the possibility of a direct
land engagement instead. They simulate a different battle plan:
They will start with an artillery bombardment exactly as detailed above
until they have eliminated half of Y's forces.
The remaining forces of X then will cross the border and engage Y's forces
who will be unprepared for the encounter, represented by the following
dynamical system:
dr
-2.2y
dt
dy
= -5.3r
dt
What is the outcome of this encounter? How many troops does the victor have
remaining?
Transcribed Image Text:2. Country X decides to run a simulation to determine what would happen if they went to war with country Y. Both are small countries within range of each others artillery assets and so they model the potential engagement as the following dynamical system: dr -5.6ry de dy --7.0ry dt for troop numbers z, 12,000 and yo-15,000 (a) What will be the outcome of this engagement? (b) X is not satisfied by the simulation and investigates the possibility of a direct land engagement instead. They simulate a different battle plan: They will start with an artillery bombardment exactly as detailed above until they have eliminated half of Y's forces. The remaining forces of X then will cross the border and engage Y's forces who will be unprepared for the encounter, represented by the following dynamical system: dr -2.2y dt dy = -5.3r dt What is the outcome of this encounter? How many troops does the victor have remaining?
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