For Exercises 1-10, (a) find the equilibrium value(s) of the differential equation, (b) assess the stability of each equilibrium value, (c) determine the point(s) of inflec- tion, and (d) sketch sample solutions of the differential equation. uridillups si baia (d 1. y' = 2 - y 2. y' = 5y + 4 seres lidov

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For Exercises 1-10, (a) find the equilibrium value(s) of
the differential equation, (b) assess the stability of each
equilibrium value, (c) determine the point(s) of inflec-
tion, and (d) sketch sample solutions of the differential
equation.
bait (d
1. y' = 2 - y
3. y'= y² - 5y + 4ldre
5. y'= y³ - 2y2
6. y' = y³ + 4y² - 4y
7. y' = y³ + 8y² + 15y
9. y' = e²y - ey
APPLICATIONS
2. y' = 5y + 4
4. y' = (1 - y)²
yllestgoloid
8. y' = 5-e³
10. y'e²y 5e + 6
Transcribed Image Text:For Exercises 1-10, (a) find the equilibrium value(s) of the differential equation, (b) assess the stability of each equilibrium value, (c) determine the point(s) of inflec- tion, and (d) sketch sample solutions of the differential equation. bait (d 1. y' = 2 - y 3. y'= y² - 5y + 4ldre 5. y'= y³ - 2y2 6. y' = y³ + 4y² - 4y 7. y' = y³ + 8y² + 15y 9. y' = e²y - ey APPLICATIONS 2. y' = 5y + 4 4. y' = (1 - y)² yllestgoloid 8. y' = 5-e³ 10. y'e²y 5e + 6
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