Exercise 6 (Love Affairs) a) Suggest names for all the possible romantic styles determine by the signs of a and b (including when they are 0) for the equation R=aR+bJ. b) Consider the love relation described by R = J, J = –R+ J. • Describe the romantic style of Romeo and Juliet. • Classify the fixed point at the origin and explain what the result means for the love affair. • Sketch R(t) and J(t) as functions of t with initial values R(0) = 1 and J(0) = 0 %3D c) In all the following cases describe the type of love relation modeled by the system and predict the development of the relationship based on the signs of a and b and their relative size. • R= a.J, j = bR • R= aR+bJ, j = -bR – aJ R=aR+bJ, J = bR+aJ R=0, j = aR+ b.J
Exercise 6 (Love Affairs) a) Suggest names for all the possible romantic styles determine by the signs of a and b (including when they are 0) for the equation R=aR+bJ. b) Consider the love relation described by R = J, J = –R+ J. • Describe the romantic style of Romeo and Juliet. • Classify the fixed point at the origin and explain what the result means for the love affair. • Sketch R(t) and J(t) as functions of t with initial values R(0) = 1 and J(0) = 0 %3D c) In all the following cases describe the type of love relation modeled by the system and predict the development of the relationship based on the signs of a and b and their relative size. • R= a.J, j = bR • R= aR+bJ, j = -bR – aJ R=aR+bJ, J = bR+aJ R=0, j = aR+ b.J
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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Transcribed Image Text:Exercise 6
(Love Affairs)
a) Suggest names for all the possible romantic styles determine by the signs of a and b
(including when they are 0) for the equation R = aR+bJ.
b) Consider the love relation described by R = J, j = –R+ J.
• Describe the romantic style of Romeo and Juliet.
• Classify the fixed point at the origin and explaîn what the result means for the love
affair.
• Sketch R(t) and J(t) as functions of t with initial values R(0) = 1 and J(0) = 0
%3D
c) In all the following cases describe the type of love relation modeled by the system and
predict the development of the relationship based on the signs of a and b and their relative
size.
• R= aJ, j = bR
%3D
%3D
• R= aR+ bJ, j = -bR – aJ
• R= aR+ bJ, j = bR + aJ
||
• R= 0, j = aR+bJ
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