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?

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

Section: Chapter Questions

Problem 1RQ

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