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Stability For Problems 13-15. sketch the direction fields, then identify the constant or equilibrium solutions and give their stability. 13. y' = 1-y

Stability For Problems 13-15. sketch the direction fields, then identify the constant or equilibrium solutions and give their stability. 13. y' = 1-y

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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12. Linear Solution From the direction field for y=-yin Fig. 1.2.3, can you determine the equation of the straight- line solution of the DE? Verify your conjecture. Stability For Problems 13-15. sketch the direction fields, then identify the constant or equilibrium solutions and give their stability. 13. y'=1-y 14. y'= y(y+1) 15. y'=²(1-²)
Transcribed Image Text:12. Linear Solution From the direction field for y=-yin Fig. 1.2.3, can you determine the equation of the straight- line solution of the DE? Verify your conjecture. Stability For Problems 13-15. sketch the direction fields, then identify the constant or equilibrium solutions and give their stability. 13. y'=1-y 14. y'= y(y+1) 15. y'=²(1-²)
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