For the two armies X and Y, the X army is about to attack Y army which has only 7725 troops while the X army has 12440 troops. The Y army however superior military equipment’s which make each Y soldier 1.5 times as effective as X soldier. Develop a mathematical model using differential equations and explain for i) which army will win ii) Estimate how many troops of the winning army will be left at the end. iii) How long the battle will end. The kill rates of X and Y are 0.5 and 0.75 respectively.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section: Chapter Questions
Problem 22T: On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an...
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For the two armies X and Y, the X army is about to attack Y army which has only 7725 troops while the X army has 12440 troops. The Y army however superior military equipment’s which make each Y soldier 1.5 times as effective as X soldier. Develop a mathematical model using differential equations and explain for i) which army will win ii) Estimate how many troops of the winning army will be left at the end. iii) How long the battle will end. The kill rates of X and Y are 0.5 and 0.75 respectively.

 

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