[14] For each of the following equations, find all equilibria; • find general solutions; solve the initial value problem with initial condition ₁ (0) = 2, x₂(0) = 1; sketch the phase portrait, identify the type of each equilibrium, and determine the stability of each equilibrium. 10 () [2] - [39] [21] = •4-140+3 (b) = -5 -7 + X2 3

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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[14] For each of the following equations,
find all equilibria;
• find general solutions;
• solve the initial value problem with initial condition ₁ (0) = 2, x₂(0) = 1;
• sketch the phase portrait, identify the type of each equilibrium, and determine the
stability of each equilibrium.
10 x1 1
1
-
3-4 963
=
(b)
Q]=[4][B]+[B]
x2
-5 -7
3
(a)
Transcribed Image Text:[14] For each of the following equations, find all equilibria; • find general solutions; • solve the initial value problem with initial condition ₁ (0) = 2, x₂(0) = 1; • sketch the phase portrait, identify the type of each equilibrium, and determine the stability of each equilibrium. 10 x1 1 1 - 3-4 963 = (b) Q]=[4][B]+[B] x2 -5 -7 3 (a)
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