Consider the same system. dr dt a² + xy – x, at fip yr – y² – y. Linearize around the equilibrium (0,0). What type of equilibrium is this? stable node O saddle O center unstable node unstable spiral stable spiral

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the same system.
dy
a² + xy – x,
dt
dr
ya – y? – y.
dt
Linearize around the equilibrium (0,0). What type of equilibrium is this?
stable node
saddle
center
unstable node
O unstable spiral
O stable spiral
Transcribed Image Text:Consider the same system. dy a² + xy – x, dt dr ya – y? – y. dt Linearize around the equilibrium (0,0). What type of equilibrium is this? stable node saddle center unstable node O unstable spiral O stable spiral
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