A) y₁ = 2y₁ - y₁Y2 Y₂ = -Y2+ Y1Y2
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:Problem 6: Consider the following four systems of differential equations
A)
B)
y₁ = 2y₁ - Y₁Y2
Y₂ = -Y2+ Y₁Y2
y₁ = y₁ - y₁Y2
y₂ = y² - Y₁Y2
D)
y₁ =
y2 = sin(y₁) - Y2
= y2
y₁ = = y₁ + y2
Y₂ = y2 - Y₁
a) Find all equilibrium solutions for the system A)
b) Find the corresponding linearized system at each equilibrium point of system A)
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