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Use the method of singular perturbation to understand the qualitative behavior of the following system: i x(1 – y)(2 – x), %3D eỷ = x - Y. Identify the fast and the slow system. Solve for the inner and outer solutions, find the slow manifold and check the matching conditions.

Use the method of singular perturbation to understand the qualitative behavior of the following system: i x(1 – y)(2 – x), %3D eỷ = x - Y. Identify the fast and the slow system. Solve for the inner and outer solutions, find the slow manifold and check the matching conditions.

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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Use the method of singular perturbation to understand the qualitative behavior of the following system: x(1 – y)(2 – x), x – y. Identify the fast and the slow system. Solve for the inner and outer solutions, find the slow manifold and check the matching conditions.
Transcribed Image Text:Use the method of singular perturbation to understand the qualitative behavior of the following system: x(1 – y)(2 – x), x – y. Identify the fast and the slow system. Solve for the inner and outer solutions, find the slow manifold and check the matching conditions.
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