For each part below you are provided with a graph of an autonomous differential equation. Figure out the long-term behavior of every possible solution function. Illustrate your conclusions with representative y(t) solution graphs and summarize your findings about the long-term behavior of different solutions in paragraph form.
For each part below you are provided with a graph of an autonomous differential equation. Figure out the long-term behavior of every possible solution function. Illustrate your conclusions with representative y(t) solution graphs and summarize your findings about the long-term behavior of different solutions in paragraph form.
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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Please give some explanation with figures. Thank you!
Transcribed Image Text:2. For each part below you are provided with a graph of an autonomous differential equation.
Figure out the long-term behavior of every possible solution function. Illustrate your
conclusions with representative y(t) solution graphs and summarize your findings about the
long-term behavior of different solutions in paragraph form.
(a)
dy/dt
(b)
dy/dt
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