Consider the autonomous DE . dx/dt = x^2 - 8x + 7 (a) Its stable critical point is x= unstable critical point is x= (b) Applying five iterations of the Forward Euler Method to the above DE, using a step size h(0.1) and initial condition x(0)=3, yields: x(0.1)approximately x1 = x(0.2)approximately x2 = x(0.3)approximately x3 = x(0.4)approximately x4= x(0.5)approximately x5 =
Consider the autonomous DE . dx/dt = x^2 - 8x + 7 (a) Its stable critical point is x= unstable critical point is x= (b) Applying five iterations of the Forward Euler Method to the above DE, using a step size h(0.1) and initial condition x(0)=3, yields: x(0.1)approximately x1 = x(0.2)approximately x2 = x(0.3)approximately x3 = x(0.4)approximately x4= x(0.5)approximately x5 =
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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Consider the autonomous DE . dx/dt = x^2 - 8x + 7
(a) Its stable critical point is x=
unstable critical point is x=
(b) Applying five iterations of the Forward Euler Method to the above DE, using a step size h(0.1) and initial condition x(0)=3, yields:
x(0.1)approximately x1 =
x(0.2)approximately x2 =
x(0.3)approximately x3 =
x(0.4)approximately x4=
x(0.5)approximately x5 =
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