H2. Classify the critical point and sketch the phase portrait of the following systems of first order equations dx = x+3y, dt dx — 5х — у, { { (i) (ii) dy = 3x+y; dt dy 3x+y. dt

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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H2. Classify the critical point and sketch the phase portrait of the following systems of first
order equations
dx
=x+3y,
dt
dx
5х— У,
dt
(i)
(ii)
dy
= 3x+y;
dt
dy
= 3x+y.
dt
Transcribed Image Text:H2. Classify the critical point and sketch the phase portrait of the following systems of first order equations dx =x+3y, dt dx 5х— У, dt (i) (ii) dy = 3x+y; dt dy = 3x+y. dt
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