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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
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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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
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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