Classify the critical point of the plane autonomous system corresponding to the second order non-linear differential equation ï + µ(x² − 1)x+ x = 0 in terms of u where is a real valued constant.
Classify the critical point of the plane autonomous system corresponding to the second order non-linear differential equation ï + µ(x² − 1)x+ x = 0 in terms of u where is a real valued constant.
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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Transcribed Image Text:Classify the critical point of the plane autonomous system corresponding
to the second order non-linear differential equation
ï+ µ(x² − 1)x+ x = 0
where μ is a real valued constant.
in terms of μl
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