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In each question, draw the phase diagram (i.e. the graph with stationary points and arrows), determine the stationary points, and classify each one as stable, unstable or seminstable (by considering the sign of the derivative of the right-hand side). 1. i = -x + 1 2. i = 2x – x² 3. i = -x(1+x)(2 – x) 4. i = x² – x4 5. i = x²(4 – x²)

In each question, draw the phase diagram (i.e. the graph with stationary points and arrows), determine the stationary points, and classify each one as stable, unstable or seminstable (by considering the sign of the derivative of the right-hand side). 1. i = -x + 1 2. i = 2x – x² 3. i = -x(1+x)(2 – x) 4. i = x² – x4 5. i = x²(4 – x²)

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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In each question, draw the phase diagram (i.e. the graph with stationary points and arrows), determine the stationary points, and classify each one as stable, unstable or seminstable (by considering the sign of the derivative of the right-hand side). 1. i = -x + 1 2. i = 2x – x² 3. i = -x(1+x)(2 – x) 4. i = x? – x4 5. i = x²(4 – x²)
Transcribed Image Text:In each question, draw the phase diagram (i.e. the graph with stationary points and arrows), determine the stationary points, and classify each one as stable, unstable or seminstable (by considering the sign of the derivative of the right-hand side). 1. i = -x + 1 2. i = 2x – x² 3. i = -x(1+x)(2 – x) 4. i = x? – x4 5. i = x²(4 – x²)
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