1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and Sy respectively on their rocket programs. (a) After observing the spending over the past few years, a statistician estimates that the spending can be expressed in the following dynamical system: dr -3.2r + 3.5y + 4.7 dy 2.4r – 2.8y + 5.2 dt Are the two countries engaged in a space race? (b) What is the spending of the two countries in this scenario? (c) Country X makes a breakthrough which causes country Y to panic and increase its spending. The new dynamical system is: dr = -3.2r + 3.5y + 4.7 dt dy 3.2r - 3.1y + 5.2 dt %3D
1. Country X and country Y both aspire to be the first to put an astronaut in orbit, spending Sr and Sy respectively on their rocket programs. (a) After observing the spending over the past few years, a statistician estimates that the spending can be expressed in the following dynamical system: dr -3.2r + 3.5y + 4.7 dy 2.4r – 2.8y + 5.2 dt Are the two countries engaged in a space race? (b) What is the spending of the two countries in this scenario? (c) Country X makes a breakthrough which causes country Y to panic and increase its spending. The new dynamical system is: dr = -3.2r + 3.5y + 4.7 dt dy 3.2r - 3.1y + 5.2 dt %3D
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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Plz solve this now in 2 to 3 hours only because i need soloution in 2 to 3 hours only so plz give me a new Soloutions not this one that i attached because i need a new Soloutions that is not used anyone before. Plz solve in different way plz and take a thumb up
Transcribed Image Text:Given the dynamical system
de = – -(1)
3. 5y – 3. 2x +4.7 –
dy
2. 4x – 2. 8y + 5. 2 – – –(2)
dt
where a and y indicate the expenditure
of the countries X and Y respectively.
This model is called Richardson's arms
race model.
dx
dt
my – ax + p –--(3)
dy
dt
= nx – by + q – – -(4)
Ston
Transcribed Image Text:1. Country X and country Y both aspire to be the first to put an astronaut in orbit,
spending Sr and Sy respectively on their rocket programs.
(a) After observing the spending over the past few years, a statistician estimates
that the spending can be expressed in the following dynamical system:
dr
-3.2r + 3.5y + 4.7
dy
2.4x – 2.8y + 5.2
%3D
dt
Are the two countries engaged in a space race?
(b) What is the spending of the two countries in this scenario?
(c) Country X makes a breakthrough which causes country Y to panic and increase
its spending. The new dynamical system is:
dr
= -3.2r + 3.5y + 4.7
dt
dy
3.2r – 3.1y + 5.2
dt
Are the two countries now engaged in a space race?
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