Path To College Mathematics
1st Edition
ISBN: 9780134654409
Author: Martin-Gay, K. Elayn, 1955-
Publisher: Pearson,
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Question
Chapter 3.6, Problem 66ES
To determine
Whether
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Find the most general real-valued solution to the linear system of differential equations
+ C2
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[*] »B] [8]:
In the phase plane, this system is best described as a
source/unstable node
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saddle
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Book: Section 3.5 of Notes on Diffy Qs
Find the most general real-valued solution to the linear system of differential equations
x
x(t)
y(t)
=
+C2
[*] [] [B]
In the phase plane, this system is best described as a
source/unstable node
sink/stable node
saddle
center point / ellipses
spiral source
spiral sink
none of these
Book: Section 3.5 of Notes on Diffy Qs
help (formulas)
help (matrices)
Find the most general real-valued solution to the linear system of differential equations
x(t)
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8'
[J - j
(-8-8
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source/unstable node
sink/stable node
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Book: Section 3.5 of Notes on Diffy Qs
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Chapter 3 Solutions
Path To College Mathematics
Ch. 3.1 - Plot each ordered pair. State in which quadrant or...Ch. 3.1 - Prob. 2ESCh. 3.1 - Prob. 3ESCh. 3.1 - Prob. 4ESCh. 3.1 - Prob. 5ESCh. 3.1 - Prob. 6ESCh. 3.1 - Prob. 7ESCh. 3.1 - Prob. 8ESCh. 3.1 - Prob. 9ESCh. 3.1 - Prob. 10ES
Ch. 3.1 - Prob. 11ESCh. 3.1 - Prob. 12ESCh. 3.1 - Prob. 13ESCh. 3.1 - Prob. 14ESCh. 3.1 - Prob. 15ESCh. 3.1 - Prob. 16ESCh. 3.1 - The table shows the worldwide box office (in...Ch. 3.1 - Prob. 18ESCh. 3.1 - The table shows the distance from the equator (in...Ch. 3.1 - Prob. 20ESCh. 3.1 - Prob. 21ESCh. 3.1 - Prob. 22ESCh. 3.1 - Prob. 23ESCh. 3.1 - Prob. 24ESCh. 3.1 - Prob. 25ESCh. 3.1 - Prob. 26ESCh. 3.1 - Prob. 27ESCh. 3.1 - Prob. 28ESCh. 3.1 - Prob. 29ESCh. 3.1 - Prob. 30ESCh. 3.1 - Prob. 31ESCh. 3.1 - Prob. 32ESCh. 3.1 - Prob. 33ESCh. 3.1 - Prob. 34ESCh. 3.1 - Prob. 35ESCh. 3.1 - Prob. 36ESCh. 3.1 - Prob. 37ESCh. 3.1 - Prob. 38ESCh. 3.1 - Prob. 39ESCh. 3.1 - Prob. 40ESCh. 3.1 - Prob. 41ESCh. 3.1 - Prob. 42ESCh. 3.1 - Prob. 43ESCh. 3.1 - Prob. 44ESCh. 3.1 - Prob. 45ESCh. 3.1 - Prob. 46ESCh. 3.1 - Prob. 47ESCh. 3.1 - Prob. 48ESCh. 3.1 - Prob. 49ESCh. 3.1 - Prob. 50ESCh. 3.1 - Prob. 51ESCh. 3.1 - Prob. 52ESCh. 3.1 - Prob. 53ESCh. 3.1 - Prob. 54ESCh. 3.1 - Prob. 55ESCh. 3.1 - Prob. 56ESCh. 3.1 - Prob. 57ESCh. 3.1 - Prob. 58ESCh. 3.1 - Prob. 59ESCh. 3.1 - Prob. 60ESCh. 3.1 - Prob. 61ESCh. 3.1 - Prob. 62ESCh. 3.1 - Prob. 63ESCh. 3.1 - Complete the table of ordered paws for each...Ch. 3.1 - Prob. 65ESCh. 3.1 - Prob. 66ESCh. 3.1 - Prob. 67ESCh. 3.1 - Prob. 68ESCh. 3.1 - Prob. 69ESCh. 3.1 - Prob. 70ESCh. 3.1 - Prob. 71ESCh. 3.1 - Prob. 72ESCh. 3.1 - Prob. 73ESCh. 3.1 - The graph below shows the number of U.S. Walmart...Ch. 3.1 - Prob. 75ESCh. 3.1 - Prob. 76ESCh. 3.1 - Prob. 77ESCh. 3.1 - Prob. 78ESCh. 3.1 - One American rite of passage is a drivers license....Ch. 3.1 - Prob. 80ESCh. 3.1 - Prob. 81ESCh. 3.1 - Prob. 82ESCh. 3.1 - Prob. 83ESCh. 3.1 - Prob. 84ESCh. 3.1 - Prob. 85ESCh. 3.1 - Prob. 86ESCh. 3.1 - Prob. 87ESCh. 3.1 - Prob. 88ESCh. 3.1 - Prob. 89ESCh. 3.1 - Prob. 90ESCh. 3.1 - Prob. 91ESCh. 3.1 - Prob. 92ESCh. 3.1 - Prob. 93ESCh. 3.1 - Prob. 94ESCh. 3.1 - Prob. 95ESCh. 3.1 - Prob. 96ESCh. 3.1 - Prob. 97ESCh. 3.1 - Prob. 98ESCh. 3.1 - Prob. 99ESCh. 3.1 - Prob. 100ESCh. 3.1 - Prob. 101ESCh. 3.1 - Prob. 102ESCh. 3.1 - Prob. 103ESCh. 3.1 - Prob. 104ESCh. 3.2 - Prob. 1ESCh. 3.2 - Prob. 2ESCh. 3.2 - Prob. 3ESCh. 3.2 - Prob. 4ESCh. 3.2 - Prob. 5ESCh. 3.2 - Prob. 6ESCh. 3.2 - Prob. 7ESCh. 3.2 - Prob. 8ESCh. 3.2 - Solve. See Example 1. What is the greatest number...Ch. 3.2 - Solve. See Example. What is the least number of...Ch. 3.2 - Solve. See Example 1. What is the least number of...Ch. 3.2 - Prob. 12ESCh. 3.2 - Prob. 13ESCh. 3.2 - Prob. 14ESCh. 3.2 - Prob. 15ESCh. 3.2 - Prob. 16ESCh. 3.2 - Prob. 17ESCh. 3.2 - Prob. 18ESCh. 3.2 - Prob. 19ESCh. 3.2 - Prob. 20ESCh. 3.2 - Prob. 21ESCh. 3.2 - Prob. 22ESCh. 3.2 - Prob. 23ESCh. 3.2 - Prob. 24ESCh. 3.2 - Prob. 25ESCh. 3.2 - Prob. 26ESCh. 3.2 - Prob. 27ESCh. 3.2 - Prob. 28ESCh. 3.2 - Prob. 29ESCh. 3.2 - Prob. 30ESCh. 3.2 - Prob. 31ESCh. 3.2 - Prob. 32ESCh. 3.2 - Prob. 33ESCh. 3.2 - Prob. 34ESCh. 3.2 - Prob. 35ESCh. 3.2 - Prob. 36ESCh. 3.2 - Prob. 37ESCh. 3.2 - Prob. 38ESCh. 3.2 - Prob. 39ESCh. 3.2 - Prob. 40ESCh. 3.2 - Prob. 41ESCh. 3.2 - Prob. 42ESCh. 3.2 - Prob. 43ESCh. 3.2 - Prob. 44ESCh. 3.2 - Prob. 45ESCh. 3.2 - Prob. 46ESCh. 3.2 - Prob. 47ESCh. 3.2 - Prob. 48ESCh. 3.2 - Prob. 49ESCh. 3.2 - Prob. 50ESCh. 3.2 - Prob. 51ESCh. 3.2 - Prob. 52ESCh. 3.2 - Prob. 53ESCh. 3.2 - Prob. 54ESCh. 3.2 - Prob. 55ESCh. 3.2 - Prob. 56ESCh. 3.2 - Prob. 57ESCh. 3.2 - Prob. 58ESCh. 3.2 - Prob. 59ESCh. 3.2 - Prob. 60ESCh. 3.2 - Prob. 61ESCh. 3.2 - Prob. 62ESCh. 3.2 - Prob. 63ESCh. 3.2 - Prob. 64ESCh. 3.2 - Prob. 65ESCh. 3.2 - Prob. 66ESCh. 3.2 - Prob. 67ESCh. 3.2 - Prob. 68ESCh. 3.2 - Prob. 69ESCh. 3.2 - Prob. 70ESCh. 3.2 - Prob. 71ESCh. 3.2 - Prob. 72ESCh. 3.2 - Prob. 73ESCh. 3.2 - The grade of a road is its slope written as a...Ch. 3.2 - Prob. 75ESCh. 3.2 - Prob. 76ESCh. 3.2 - Prob. 77ESCh. 3.2 - Prob. 78ESCh. 3.2 - Prob. 79ESCh. 3.2 - Prob. 80ESCh. 3.2 - Prob. 81ESCh. 3.2 - Prob. 82ESCh. 3.2 - Prob. 83ESCh. 3.2 - Prob. 84ESCh. 3.2 - Prob. 85ESCh. 3.2 - Prob. 86ESCh. 3.2 - Prob. 87ESCh. 3.2 - Prob. 88ESCh. 3.2 - Prob. 89ESCh. 3.2 - Prob. 90ESCh. 3.2 - Prob. 91ESCh. 3.2 - Prob. 92ESCh. 3.2 - Prob. 93ESCh. 3.2 - Prob. 94ESCh. 3.2 - Prob. 95ESCh. 3.2 - Prob. 96ESCh. 3.2 - Prob. 97ESCh. 3.2 - Prob. 98ESCh. 3.2 - Prob. 99ESCh. 3.2 - Prob. 100ESCh. 3.2 - Prob. 101ESCh. 3.2 - Prob. 102ESCh. 3.2 - Prob. 103ESCh. 3.2 - Prob. 104ESCh. 3.2 - Prob. 105ESCh. 3.2 - Prob. 106ESCh. 3.2 - Prob. 107ESCh. 3.2 - Prob. 108ESCh. 3.2 - Prob. 109ESCh. 3.2 - Solve. Find x so that the pitch of the roof is 25.Ch. 3.2 - Prob. 1IRCh. 3.2 - Prob. 2IRCh. 3.2 - Prob. 3IRCh. 3.2 - Prob. 4IRCh. 3.2 - Prob. 5IRCh. 3.2 - Prob. 6IRCh. 3.2 - Prob. 7IRCh. 3.2 - Prob. 8IRCh. 3.2 - Prob. 9IRCh. 3.2 - Prob. 10IRCh. 3.2 - Prob. 11IRCh. 3.2 - Prob. 12IRCh. 3.2 - Prob. 13IRCh. 3.2 - Prob. 14IRCh. 3.2 - Prob. 15IRCh. 3.2 - Prob. 16IRCh. 3.3 - Prob. 1ESCh. 3.3 - Prob. 2ESCh. 3.3 - Prob. 3ESCh. 3.3 - Prob. 4ESCh. 3.3 - Prob. 5ESCh. 3.3 - Use the slope-intercept form to graph each...Ch. 3.3 - Prob. 7ESCh. 3.3 - Prob. 8ESCh. 3.3 - Prob. 9ESCh. 3.3 - Prob. 10ESCh. 3.3 - Prob. 11ESCh. 3.3 - Prob. 12ESCh. 3.3 - Prob. 13ESCh. 3.3 - Prob. 14ESCh. 3.3 - Prob. 15ESCh. 3.3 - Prob. 16ESCh. 3.3 - Prob. 17ESCh. 3.3 - Prob. 18ESCh. 3.3 - Prob. 19ESCh. 3.3 - Prob. 20ESCh. 3.3 - Prob. 21ESCh. 3.3 - Prob. 22ESCh. 3.3 - Prob. 23ESCh. 3.3 - Prob. 24ESCh. 3.3 - Prob. 25ESCh. 3.3 - Prob. 26ESCh. 3.3 - Prob. 27ESCh. 3.3 - Prob. 28ESCh. 3.3 - Prob. 29ESCh. 3.3 - Prob. 30ESCh. 3.3 - Prob. 31ESCh. 3.3 - Prob. 32ESCh. 3.3 - Prob. 33ESCh. 3.3 - Prob. 34ESCh. 3.3 - Prob. 35ESCh. 3.3 - Prob. 36ESCh. 3.3 - Prob. 37ESCh. 3.3 - Prob. 38ESCh. 3.3 - Prob. 39ESCh. 3.3 - Find an equation of each line. See Example 6....Ch. 3.3 - Prob. 41ESCh. 3.3 - Prob. 42ESCh. 3.3 - Prob. 43ESCh. 3.3 - Prob. 44ESCh. 3.3 - Prob. 45ESCh. 3.3 - Prob. 46ESCh. 3.3 - Prob. 47ESCh. 3.3 - Prob. 48ESCh. 3.3 - Prob. 49ESCh. 3.3 - Prob. 50ESCh. 3.3 - Prob. 51ESCh. 3.3 - Prob. 52ESCh. 3.3 - Prob. 53ESCh. 3.3 - Prob. 54ESCh. 3.3 - Prob. 55ESCh. 3.3 - Prob. 56ESCh. 3.3 - Prob. 57ESCh. 3.3 - Prob. 58ESCh. 3.3 - Prob. 59ESCh. 3.3 - Prob. 60ESCh. 3.3 - Prob. 61ESCh. 3.3 - Prob. 62ESCh. 3.3 - Prob. 63ESCh. 3.3 - Prob. 64ESCh. 3.3 - Prob. 65ESCh. 3.3 - Prob. 66ESCh. 3.3 - Prob. 67ESCh. 3.3 - Prob. 68ESCh. 3.3 - Prob. 69ESCh. 3.3 - Prob. 70ESCh. 3.3 - Prob. 71ESCh. 3.3 - Prob. 72ESCh. 3.3 - Prob. 73ESCh. 3.3 - Prob. 74ESCh. 3.3 - Prob. 75ESCh. 3.3 - Prob. 76ESCh. 3.3 - Prob. 77ESCh. 3.3 - Prob. 78ESCh. 3.3 - Prob. 79ESCh. 3.3 - Prob. 80ESCh. 3.3 - Prob. 81ESCh. 3.3 - Prob. 82ESCh. 3.3 - Prob. 83ESCh. 3.3 - Prob. 84ESCh. 3.3 - Prob. 85ESCh. 3.3 - Prob. 86ESCh. 3.3 - Prob. 87ESCh. 3.3 - Prob. 88ESCh. 3.3 - Prob. 89ESCh. 3.3 - Prob. 90ESCh. 3.3 - Prob. 91ESCh. 3.3 - Prob. 92ESCh. 3.3 - Prob. 93ESCh. 3.3 - Prob. 94ESCh. 3.3 - Prob. 95ESCh. 3.3 - Prob. 96ESCh. 3.3 - Prob. 97ESCh. 3.3 - Prob. 98ESCh. 3.4 - Prob. 1ESCh. 3.4 - Prob. 2ESCh. 3.4 - Prob. 3ESCh. 3.4 - Prob. 4ESCh. 3.4 - Prob. 5ESCh. 3.4 - Prob. 6ESCh. 3.4 - Prob. 7ESCh. 3.4 - Prob. 8ESCh. 3.4 - Prob. 9ESCh. 3.4 - Prob. 10ESCh. 3.4 - Prob. 11ESCh. 3.4 - Prob. 12ESCh. 3.4 - Prob. 13ESCh. 3.4 - Prob. 14ESCh. 3.4 - Prob. 15ESCh. 3.4 - Prob. 16ESCh. 3.4 - Prob. 17ESCh. 3.4 - Prob. 18ESCh. 3.4 - Prob. 19ESCh. 3.4 - Prob. 20ESCh. 3.4 - Prob. 21ESCh. 3.4 - Prob. 22ESCh. 3.4 - Prob. 23ESCh. 3.4 - Prob. 24ESCh. 3.4 - Prob. 25ESCh. 3.4 - Prob. 26ESCh. 3.4 - Prob. 27ESCh. 3.4 - Prob. 28ESCh. 3.4 - Prob. 29ESCh. 3.4 - Prob. 30ESCh. 3.4 - Prob. 31ESCh. 3.4 - Prob. 32ESCh. 3.4 - Prob. 33ESCh. 3.4 - Prob. 34ESCh. 3.4 - Prob. 35ESCh. 3.4 - Prob. 36ESCh. 3.4 - Prob. 37ESCh. 3.4 - Prob. 38ESCh. 3.4 - Prob. 39ESCh. 3.4 - Prob. 40ESCh. 3.4 - Prob. 41ESCh. 3.4 - Prob. 42ESCh. 3.4 - Prob. 43ESCh. 3.4 - Prob. 44ESCh. 3.4 - Prob. 45ESCh. 3.4 - Prob. 46ESCh. 3.4 - Prob. 47ESCh. 3.4 - Prob. 48ESCh. 3.4 - Prob. 49ESCh. 3.4 - Prob. 50ESCh. 3.4 - Prob. 51ESCh. 3.4 - Prob. 52ESCh. 3.4 - Prob. 53ESCh. 3.4 - Prob. 54ESCh. 3.4 - Prob. 55ESCh. 3.4 - Prob. 56ESCh. 3.4 - Prob. 57ESCh. 3.4 - Prob. 58ESCh. 3.4 - Prob. 59ESCh. 3.4 - Prob. 60ESCh. 3.4 - Prob. 61ESCh. 3.4 - Prob. 62ESCh. 3.4 - Prob. 63ESCh. 3.4 - Prob. 64ESCh. 3.4 - Prob. 65ESCh. 3.4 - Prob. 66ESCh. 3.4 - Prob. 67ESCh. 3.4 - Prob. 68ESCh. 3.4 - Prob. 69ESCh. 3.4 - Prob. 70ESCh. 3.4 - Prob. 71ESCh. 3.4 - Prob. 72ESCh. 3.4 - Prob. 73ESCh. 3.4 - Prob. 74ESCh. 3.4 - Prob. 75ESCh. 3.4 - Prob. 76ESCh. 3.4 - Prob. 77ESCh. 3.4 - Prob. 78ESCh. 3.4 - Prob. 79ESCh. 3.4 - Prob. 80ESCh. 3.4 - Prob. 81ESCh. 3.4 - Prob. 82ESCh. 3.4 - Prob. 83ESCh. 3.4 - Prob. 84ESCh. 3.4 - Prob. 85ESCh. 3.4 - Prob. 86ESCh. 3.4 - Prob. 87ESCh. 3.4 - Prob. 88ESCh. 3.4 - Prob. 89ESCh. 3.4 - Prob. 90ESCh. 3.4 - Prob. 91ESCh. 3.4 - Prob. 92ESCh. 3.4 - Prob. 93ESCh. 3.4 - Prob. 94ESCh. 3.4 - Prob. 95ESCh. 3.4 - Prob. 96ESCh. 3.4 - Prob. 97ESCh. 3.4 - Prob. 98ESCh. 3.4 - Prob. 99ESCh. 3.4 - Prob. 100ESCh. 3.4 - Prob. 101ESCh. 3.4 - Prob. 102ESCh. 3.4 - Prob. 103ESCh. 3.4 - Prob. 104ESCh. 3.4 - Prob. 105ESCh. 3.4 - Prob. 106ESCh. 3.4 - Prob. 107ESCh. 3.4 - Prob. 108ESCh. 3.5 - Prob. 1ESCh. 3.5 - Prob. 2ESCh. 3.5 - Prob. 3ESCh. 3.5 - Prob. 4ESCh. 3.5 - Prob. 5ESCh. 3.5 - Prob. 6ESCh. 3.5 - Prob. 7ESCh. 3.5 - Prob. 8ESCh. 3.5 - Prob. 9ESCh. 3.5 - Prob. 10ESCh. 3.5 - Prob. 11ESCh. 3.5 - Prob. 12ESCh. 3.5 - Prob. 13ESCh. 3.5 - Prob. 14ESCh. 3.5 - Prob. 15ESCh. 3.5 - Prob. 16ESCh. 3.5 - Prob. 17ESCh. 3.5 - Prob. 18ESCh. 3.5 - Prob. 19ESCh. 3.5 - Prob. 20ESCh. 3.5 - Prob. 21ESCh. 3.5 - Prob. 22ESCh. 3.5 - Prob. 23ESCh. 3.5 - Prob. 24ESCh. 3.5 - Prob. 25ESCh. 3.5 - Prob. 26ESCh. 3.5 - Prob. 27ESCh. 3.5 - Prob. 28ESCh. 3.5 - Prob. 29ESCh. 3.5 - Prob. 30ESCh. 3.5 - Prob. 31ESCh. 3.5 - Prob. 32ESCh. 3.5 - Prob. 33ESCh. 3.5 - Prob. 34ESCh. 3.5 - Prob. 35ESCh. 3.5 - Prob. 36ESCh. 3.5 - Prob. 37ESCh. 3.5 - Prob. 38ESCh. 3.5 - Prob. 39ESCh. 3.5 - Prob. 40ESCh. 3.5 - Prob. 41ESCh. 3.5 - Prob. 42ESCh. 3.5 - Prob. 43ESCh. 3.5 - Prob. 44ESCh. 3.5 - Prob. 45ESCh. 3.5 - Prob. 46ESCh. 3.5 - Prob. 47ESCh. 3.5 - Prob. 48ESCh. 3.5 - Prob. 49ESCh. 3.5 - Prob. 50ESCh. 3.5 - Prob. 51ESCh. 3.5 - Prob. 52ESCh. 3.5 - Prob. 53ESCh. 3.5 - Prob. 54ESCh. 3.5 - Prob. 55ESCh. 3.5 - Prob. 56ESCh. 3.5 - Prob. 57ESCh. 3.5 - Prob. 58ESCh. 3.5 - Prob. 59ESCh. 3.5 - Prob. 60ESCh. 3.5 - Prob. 61ESCh. 3.5 - Prob. 62ESCh. 3.5 - Prob. 63ESCh. 3.5 - Prob. 64ESCh. 3.5 - Prob. 65ESCh. 3.5 - Prob. 66ESCh. 3.5 - Prob. 67ESCh. 3.5 - Prob. 68ESCh. 3.5 - Prob. 69ESCh. 3.5 - Prob. 70ESCh. 3.5 - Prob. 71ESCh. 3.5 - Prob. 72ESCh. 3.5 - Prob. 73ESCh. 3.5 - Prob. 74ESCh. 3.5 - Prob. 75ESCh. 3.5 - Prob. 76ESCh. 3.5 - Prob. 77ESCh. 3.5 - Prob. 78ESCh. 3.5 - Prob. 79ESCh. 3.5 - Prob. 80ESCh. 3.5 - Prob. 81ESCh. 3.5 - Prob. 82ESCh. 3.5 - Prob. 83ESCh. 3.5 - Prob. 84ESCh. 3.5 - Prob. 85ESCh. 3.5 - Prob. 86ESCh. 3.5 - Prob. 87ESCh. 3.5 - Prob. 88ESCh. 3.5 - Prob. 89ESCh. 3.5 - Prob. 90ESCh. 3.5 - Prob. 91ESCh. 3.5 - Prob. 92ESCh. 3.5 - Prob. 93ESCh. 3.5 - Prob. 94ESCh. 3.5 - Prob. 95ESCh. 3.5 - Prob. 96ESCh. 3.5 - Prob. 97ESCh. 3.5 - Prob. 98ESCh. 3.5 - Prob. 99ESCh. 3.5 - Prob. 100ESCh. 3.5 - Prob. 101ESCh. 3.5 - Prob. 102ESCh. 3.5 - Prob. 103ESCh. 3.5 - Prob. 104ESCh. 3.5 - Prob. 105ESCh. 3.5 - Prob. 106ESCh. 3.5 - Prob. 107ESCh. 3.5 - Prob. 108ESCh. 3.5 - Prob. 109ESCh. 3.5 - Prob. 110ESCh. 3.6 - Prob. 1ESCh. 3.6 - Prob. 2ESCh. 3.6 - Prob. 3ESCh. 3.6 - Prob. 4ESCh. 3.6 - Prob. 5ESCh. 3.6 - Prob. 6ESCh. 3.6 - Prob. 7ESCh. 3.6 - Prob. 8ESCh. 3.6 - Prob. 9ESCh. 3.6 - Prob. 10ESCh. 3.6 - Prob. 11ESCh. 3.6 - Prob. 12ESCh. 3.6 - Prob. 13ESCh. 3.6 - Prob. 14ESCh. 3.6 - Prob. 15ESCh. 3.6 - Prob. 16ESCh. 3.6 - Prob. 17ESCh. 3.6 - Prob. 18ESCh. 3.6 - Prob. 19ESCh. 3.6 - Prob. 20ESCh. 3.6 - Prob. 21ESCh. 3.6 - Prob. 22ESCh. 3.6 - Prob. 23ESCh. 3.6 - Prob. 24ESCh. 3.6 - Prob. 25ESCh. 3.6 - Prob. 26ESCh. 3.6 - Prob. 27ESCh. 3.6 - Prob. 28ESCh. 3.6 - Prob. 29ESCh. 3.6 - Prob. 30ESCh. 3.6 - Prob. 31ESCh. 3.6 - Prob. 32ESCh. 3.6 - Prob. 33ESCh. 3.6 - Prob. 34ESCh. 3.6 - Prob. 35ESCh. 3.6 - Prob. 36ESCh. 3.6 - Prob. 37ESCh. 3.6 - Prob. 38ESCh. 3.6 - Prob. 39ESCh. 3.6 - Prob. 40ESCh. 3.6 - Prob. 41ESCh. 3.6 - Prob. 42ESCh. 3.6 - Prob. 43ESCh. 3.6 - Prob. 44ESCh. 3.6 - Prob. 45ESCh. 3.6 - Prob. 46ESCh. 3.6 - Prob. 47ESCh. 3.6 - Prob. 48ESCh. 3.6 - Prob. 49ESCh. 3.6 - Prob. 50ESCh. 3.6 - Prob. 51ESCh. 3.6 - Prob. 52ESCh. 3.6 - Prob. 53ESCh. 3.6 - Prob. 54ESCh. 3.6 - Prob. 55ESCh. 3.6 - Prob. 56ESCh. 3.6 - Prob. 57ESCh. 3.6 - Prob. 58ESCh. 3.6 - Prob. 59ESCh. 3.6 - Prob. 60ESCh. 3.6 - Prob. 61ESCh. 3.6 - Prob. 62ESCh. 3.6 - Prob. 63ESCh. 3.6 - Prob. 64ESCh. 3.6 - Prob. 65ESCh. 3.6 - Prob. 66ESCh. 3.6 - Prob. 67ESCh. 3.6 - Prob. 68ESCh. 3.6 - Prob. 69ESCh. 3.6 - Prob. 70ESCh. 3.6 - Prob. 71ESCh. 3.6 - Prob. 72ESCh. 3.6 - Prob. 73ESCh. 3.6 - Prob. 74ESCh. 3 - Prob. 1VCCh. 3 - Prob. 2VCCh. 3 - Prob. 3VCCh. 3 - Prob. 4VCCh. 3 - Prob. 5VCCh. 3 - Prob. 6VCCh. 3 - Prob. 7VCCh. 3 - Prob. 8VCCh. 3 - Prob. 9VCCh. 3 - Prob. 10VCCh. 3 - Prob. 11VCCh. 3 - Prob. 12VCCh. 3 - Prob. 13VCCh. 3 - Prob. 14VCCh. 3 - Prob. 15VCCh. 3 - Prob. 16VCCh. 3 - Prob. 17VCCh. 3 - Prob. 18VCCh. 3 - Prob. 19VCCh. 3 - Prob. 20VCCh. 3 - Prob. 21VCCh. 3 - Prob. 22VCCh. 3 - Prob. 23VCCh. 3 - Prob. 24VCCh. 3 - Prob. 1RCh. 3 - Prob. 2RCh. 3 - Prob. 3RCh. 3 - Prob. 4RCh. 3 - Prob. 5RCh. 3 - Prob. 6RCh. 3 - Prob. 7RCh. 3 - Prob. 8RCh. 3 - Prob. 9RCh. 3 - Prob. 10RCh. 3 - Prob. 11RCh. 3 - Prob. 12RCh. 3 - Prob. 13RCh. 3 - Prob. 14RCh. 3 - Prob. 15RCh. 3 - Prob. 16RCh. 3 - Prob. 17RCh. 3 - Prob. 18RCh. 3 - Prob. 19RCh. 3 - Prob. 20RCh. 3 - Prob. 21RCh. 3 - Prob. 22RCh. 3 - Prob. 23RCh. 3 - Prob. 24RCh. 3 - Prob. 25RCh. 3 - Prob. 26RCh. 3 - Prob. 27RCh. 3 - Prob. 28RCh. 3 - Prob. 29RCh. 3 - Prob. 30RCh. 3 - Prob. 31RCh. 3 - Prob. 32RCh. 3 - Prob. 33RCh. 3 - Prob. 34RCh. 3 - Prob. 35RCh. 3 - Prob. 36RCh. 3 - Prob. 37RCh. 3 - Prob. 38RCh. 3 - Prob. 39RCh. 3 - Prob. 40RCh. 3 - Prob. 41RCh. 3 - Prob. 42RCh. 3 - Prob. 43RCh. 3 - Prob. 44RCh. 3 - Prob. 45RCh. 3 - Prob. 46RCh. 3 - Prob. 47RCh. 3 - Prob. 48RCh. 3 - Prob. 49RCh. 3 - Prob. 50RCh. 3 - Prob. 51RCh. 3 - Prob. 52RCh. 3 - Prob. 53RCh. 3 - Prob. 54RCh. 3 - Prob. 55RCh. 3 - Prob. 56RCh. 3 - Prob. 57RCh. 3 - Prob. 58RCh. 3 - Prob. 59RCh. 3 - Prob. 60RCh. 3 - Prob. 61RCh. 3 - Prob. 62RCh. 3 - Prob. 63RCh. 3 - Prob. 64RCh. 3 - Prob. 65RCh. 3 - Prob. 66RCh. 3 - Prob. 67RCh. 3 - Prob. 68RCh. 3 - Prob. 69RCh. 3 - Prob. 70RCh. 3 - Prob. 71RCh. 3 - Prob. 72RCh. 3 - Prob. 73RCh. 3 - Prob. 74RCh. 3 - Prob. 75RCh. 3 - Write an equation of each line. Write each...Ch. 3 - Prob. 77RCh. 3 - Prob. 78RCh. 3 - Prob. 79RCh. 3 - Prob. 80RCh. 3 - Prob. 81RCh. 3 - Prob. 82RCh. 3 - Prob. 83RCh. 3 - Prob. 84RCh. 3 - Prob. 85RCh. 3 - Prob. 86RCh. 3 - Prob. 87RCh. 3 - Prob. 88RCh. 3 - Prob. 89RCh. 3 - Prob. 90RCh. 3 - Prob. 91RCh. 3 - Prob. 92RCh. 3 - Prob. 93RCh. 3 - Prob. 94RCh. 3 - Prob. 95RCh. 3 - Prob. 96RCh. 3 - Prob. 97RCh. 3 - Prob. 98RCh. 3 - Prob. 99RCh. 3 - Prob. 100RCh. 3 - Prob. 101RCh. 3 - Prob. 102RCh. 3 - Prob. 103RCh. 3 - Prob. 104RCh. 3 - Prob. 105RCh. 3 - Prob. 106RCh. 3 - Prob. 107RCh. 3 - Prob. 108RCh. 3 - Prob. 109RCh. 3 - Prob. 110RCh. 3 - Prob. 111RCh. 3 - Prob. 112RCh. 3 - Prob. 113RCh. 3 - Prob. 114RCh. 3 - Prob. 115RCh. 3 - Prob. 116RCh. 3 - Prob. 117RCh. 3 - Prob. 118RCh. 3 - Prob. 119RCh. 3 - Prob. 120RCh. 3 - Prob. 121RCh. 3 - Prob. 122RCh. 3 - Prob. 123RCh. 3 - Prob. 124RCh. 3 - Prob. 125RCh. 3 - Prob. 126RCh. 3 - Prob. 127RCh. 3 - Prob. 128RCh. 3 - Prob. 129RCh. 3 - Prob. 130RCh. 3 - Graph the solutions of the following systems of...Ch. 3 - Graph the solutions of the following systems of...Ch. 3 - Prob. 133RCh. 3 - Prob. 134RCh. 3 - Prob. 135RCh. 3 - Prob. 136RCh. 3 - Prob. 137RCh. 3 - Prob. 138RCh. 3 - Prob. 139RCh. 3 - Prob. 140RCh. 3 - Prob. 141RCh. 3 - Prob. 142RCh. 3 - Prob. 143RCh. 3 - Prob. 144RCh. 3 - Prob. 145RCh. 3 - Prob. 146RCh. 3 - Prob. 147RCh. 3 - Prob. 148RCh. 3 - Prob. 149RCh. 3 - Prob. 150RCh. 3 - Prob. 151RCh. 3 - Prob. 152RCh. 3 - Prob. 153RCh. 3 - Prob. 154RCh. 3 - Prob. 155RCh. 3 - Prob. 156RCh. 3 - Prob. 157RCh. 3 - Prob. 158RCh. 3 - Prob. 159RCh. 3 - Prob. 160RCh. 3 - Prob. 161RCh. 3 - Prob. 162RCh. 3 - Prob. 1GRFTCh. 3 - Prob. 2GRFTCh. 3 - Prob. 3GRFTCh. 3 - Prob. 4GRFTCh. 3 - Prob. 5GRFTCh. 3 - Prob. 6GRFTCh. 3 - Prob. 7GRFTCh. 3 - Prob. 8GRFTCh. 3 - Prob. 9GRFTCh. 3 - Prob. 10GRFTCh. 3 - Prob. 11GRFTCh. 3 - Prob. 12GRFTCh. 3 - Prob. 13GRFTCh. 3 - Prob. 14GRFTCh. 3 - Prob. 15GRFTCh. 3 - Prob. 16GRFTCh. 3 - Prob. 17GRFTCh. 3 - Prob. 18GRFTCh. 3 - Prob. 1TCh. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Prob. 5TCh. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Prob. 9TCh. 3 - Prob. 10TCh. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - Prob. 15TCh. 3 - Prob. 16TCh. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - The table gives the number of Dish Network...Ch. 3 - This graph approximates the number of movie ticket...Ch. 3 - Prob. 22TCh. 3 - Prob. 23TCh. 3 - Prob. 24TCh. 3 - Prob. 25TCh. 3 - Prob. 26TCh. 3 - Prob. 27TCh. 3 - Prob. 28TCh. 3 - Prob. 29TCh. 3 - Prob. 30TCh. 3 - Prob. 31TCh. 3 - Prob. 32TCh. 3 - Prob. 33TCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CRCh. 3 - Prob. 10CRCh. 3 - Prob. 11CRCh. 3 - Prob. 12CRCh. 3 - Prob. 13CRCh. 3 - Prob. 14CRCh. 3 - Prob. 15CRCh. 3 - Prob. 16CRCh. 3 - Prob. 17CRCh. 3 - Prob. 18CRCh. 3 - Prob. 19CRCh. 3 - Prob. 20CRCh. 3 - Prob. 21CRCh. 3 - Prob. 22CRCh. 3 - Prob. 23CRCh. 3 - Prob. 24CRCh. 3 - Prob. 25CRCh. 3 - Prob. 26CRCh. 3 - Prob. 27CRCh. 3 - Prob. 28CRCh. 3 - Prob. 29CRCh. 3 - Prob. 30CRCh. 3 - Prob. 31CRCh. 3 - Prob. 32CRCh. 3 - Prob. 33CRCh. 3 - Prob. 34CRCh. 3 - Prob. 35CRCh. 3 - Prob. 36CRCh. 3 - Prob. 37CRCh. 3 - Prob. 38CRCh. 3 - Prob. 39CRCh. 3 - Prob. 40CR
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- Find the most general real-valued solution to the linear system of differential equations x(t) -2 7-730 --8-8 y(t) = In the phase plane, this system is best described as a source/unstable node sink / stable node saddle center point / ellipses spiral source spiral sink ☐ none of these Book: Section 3.5 of Notes on Diffy Qs 1 help (formulas) help (matrices)arrow_forwardConsider the system of differential equations dx 8 3 x Y dt 4 -- (0) + (1) (음)- (0) dy 18 y. dt For this system, the eigenvalues are help (numbers) Enter as a comma separated list. How do the solution curves of the system above behave? All of the solutions curves would converge towards 0 (sink/stable node). All of the solution curves would run away from 0 (source/unstable node). The solution curves would race towards zero and then veer away towards infinity (saddle point). The solution curves converge to different points. The solution to the above differential equation with initial values x(0) = 5, y(0) = 3 is x(t) = help (formulas) y(t) = help (formulas) Book: Section 3.5 of Notes on Diffy Qsarrow_forwardConsider the system of differential equations Verify that x' x, x(0) = x(t) = c1e5t H + Cze³t [] is a solution to the system of differential equations for any choice of the constants C1 and C2. Find values of C1 and C2 that solve the given initial value problem. (According to the uniqueness theorem, you have found the unique solution of ' = Px, x(0) = 0). H e³t (t) = ( \ ) · e³ {}] + () ·³ [1] Book: Section 3.3 of Notes on Diffy Qs help (numbers)arrow_forward
- Find the most general real-valued solution to the linear system of differential equations [5 -6 x = -10|| x(t) [*] [B] • [8] = C1 y(t) In the phase plane, this system is best described as a source/unstable node O sink / stable node saddle center point / ellipses spiral source spiral sink none of these Book: Section 3.5 of Notes on Diffy Qs help (formulas) help (matrices)arrow_forwardConsider the system of higher order differential equations y″ = t¯¹y' + 7y – tz + (sint)z' + e5t, z" = y — 3z'. Rewrite the given system of two second order differential equations as a system of four first order linear differential equations of the form ÿ' = P(t)ÿ+ g(t). Use the following change of variables y' [Y] Y1 Y2 Y3 LY4_ help (formulas) help (matrices) Book: Section 3.3 of Notes on Diffy Qs [y1(t)] [ y(t)] Y2(t) y' (t) ÿ(t) = = Y3(t) z(t) Y₁(t)] [z'(t)]arrow_forwardCalculate the eigenvalues of this matrix: [21 12 A 24 -21 You'll probably want to use a calculator or computer to estimate the roots of the polynomial that defines the eigenvalues. The system has two real eigenvalues 1 and 2 where \1<\2 smaller eigenvalue \1 = help (numbers) associated eigenvector v1 larger eigenvalue 2 = = help (matrices) help (numbers) associated eigenvector v2 If x' = = B help (matrices) A is a differential equation, how do the solution curves behave? A. The solution curves diverge from different points on parallel paths. B. The solution curves would race towards zero and then veer away towards infinity. (saddle point) C. The solution curves converge to different points on parallel paths. D. All of the solution curves would run away from 0. (source / unstable node) E. All of the solutions curves would converge towards 0. (sink / stable node) Book: Section 3.5 of Notes on Diffy Qsarrow_forward
- Suppose x = C1e2t [x(0)] Ly(0). Find C1 and C2. H == + C₂et [ - C1 = help (numbers) C₂ = help (numbers) 3 5 2 1 -3 -2 -1 2 3 -1 -2 -3 A 5 * x = Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? Choose ✰ Is the solution curve headed toward or away from the origin as t increases? A. toward B. away C. neither toward nor away -3 N -1 3 2 1 -1 -2 -3 Book: Section 3.5 of Notes on Diffy Qs 0 3 5 2 1 -3 -2 -1 -1 -2 -3 - B 3 2 2 1 3 x * x * х 2 3 -3 -2 -1 2 3 -1 -2 -3 Darrow_forwardShow that 2et |x(t) = is a solution to the system of linear homogeneous differential equations x'₁ = 2x1 + x2 x3, x2 = x1 + x2 + 2x3, x3 = x = x1 + 2x2 x3. Find the value of each term in the equation x1 order given.) = 2x1 x2 x3 in terms of the variable t. (Enter the terms in the ☐ = 0 + 0 + ☐ help (formulas) Find the value of each term in the equation x 2 = x1 + x2+2x3 terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + help (formulas) Find the value of each term in the equation x3 = x1 + 2x2 + x3 in terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + ☐ help (formulas) Book: Section 3.3 of Notes on Diffy Qsarrow_forwardLet P-L 1 2e3t+8e- = t 15 +], x2(t) = [3e³t + 20e-t -8e³t + 2e-t -12e³t +5e-t P by evaluating derivatives and the matrix product 1(t) = = Show that 1(t) is a solution to the system ' = #³½ (t) = [ 15 9 1(t) Enter your answers in terms of the variable t. [8]·[8] help (formulas) help (matrices) Show that 2(t) is a solution to the system ' = P by evaluating derivatives and the matrix product Enter your answers in terms of the variable t. [8]-[8] help (formulas) help (matrices) Book: Section 3.3 of Notes on Diffy Qs 9 코일(t)= [15-3]교2(t)arrow_forward
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