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B EXERCISES FOR SECTION 1.6 In Exercises 1-12, sketch the phase lines for the given differential equation. Identify the equilibrium points as sinks, sources, or nodes. 1. 4. 7. 10. dy dt dw dt dv dt dy dt = 3y(y-2) =w cos w -2 . -2v-2 = tan y 2. 5. 8. 11. dy dt dw dt dw dt dy dt = y² - 4y - 12 : (1-w) sin w = 3w³ - 12w² = y ln |y| dy 3. = cos y dt dy 1 dt y-2 6. = 9. II dy dt dw 12. = dt = 1 + cos y (w²-2) arctan w Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due o electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 89 / 835 >

B EXERCISES FOR SECTION 1.6 In Exercises 1-12, sketch the phase lines for the given differential equation. Identify the equilibrium points as sinks, sources, or nodes. 1. 4. 7. 10. dy dt dw dt dv dt dy dt = 3y(y-2) =w cos w -2 . -2v-2 = tan y 2. 5. 8. 11. dy dt dw dt dw dt dy dt = y² - 4y - 12 : (1-w) sin w = 3w³ - 12w² = y ln |y| dy 3. = cos y dt dy 1 dt y-2 6. = 9. II dy dt dw 12. = dt = 1 + cos y (w²-2) arctan w Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due o electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 89 / 835 >

Advanced Engineering Mathematics
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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B EXERCISES FOR SECTION 1.6 In Exercises 1-12, sketch the phase lines for the given differential equation. Identify the equilibrium points as sinks, sources, or nodes. 1. 4. 7. 10. dy dt dw dt dv dt dy dt = 3y(y-2) =w cos w -2 . -2v-2 = tan y 2. 5. 8. 11. dy dt dw dt dw dt dy dt = y² - 4y - 12 : (1-w) sin w = 3w³ - 12w² = y ln |y| dy 3. = cos y dt dy 1 dt y-2 6. = 9. II dy dt dw 12. = dt = 1 + cos y (w²-2) arctan w Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due o electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 89 / 835 >
Transcribed Image Text:B EXERCISES FOR SECTION 1.6 In Exercises 1-12, sketch the phase lines for the given differential equation. Identify the equilibrium points as sinks, sources, or nodes. 1. 4. 7. 10. dy dt dw dt dv dt dy dt = 3y(y-2) =w cos w -2 . -2v-2 = tan y 2. 5. 8. 11. dy dt dw dt dw dt dy dt = y² - 4y - 12 : (1-w) sin w = 3w³ - 12w² = y ln |y| dy 3. = cos y dt dy 1 dt y-2 6. = 9. II dy dt dw 12. = dt = 1 + cos y (w²-2) arctan w Copyright 2011 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due o electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 89 / 835 >
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