DE dx dt = x² - 4x + 3. (a) Its stable critical point is X = unstable critical point is X =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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12:55
KAMVA
▲ Show Time Remaining A
(b) Applying five
iterations of the
Forward Euler Method to
the above DE, using a
step size h = 0.25 and
initial condition
x(0) = 2, yields:
x(0.25) ≈ x₁ =
x(0.5) ≈ x₂ =
x(0.75) ≈ x3 =
x(1) ≈ x₁ =
x(1.25)≈x5
=
●
ikamva.uwc.ac.za
1739
RM
65
Transcribed Image Text:12:55 KAMVA ▲ Show Time Remaining A (b) Applying five iterations of the Forward Euler Method to the above DE, using a step size h = 0.25 and initial condition x(0) = 2, yields: x(0.25) ≈ x₁ = x(0.5) ≈ x₂ = x(0.75) ≈ x3 = x(1) ≈ x₁ = x(1.25)≈x5 = ● ikamva.uwc.ac.za 1739 RM 65
DE
dx
dt
x² - 4x + 3.
2
=X
(a) Its
stable critical point
is X =
unstable critical point
is x =
Transcribed Image Text:DE dx dt x² - 4x + 3. 2 =X (a) Its stable critical point is X = unstable critical point is x =
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