(Phase Plane sketch)a) Sketch (by hand) the vector field for the following systems. Indicate the length and direction of the vectors with reasonable accuracy. Exercise 2. • i = x, ÿ = x + y • i = -2y, ÿ = I Use the matlab code "pplane8.m" to sketch the vector fields and as many relevant trajectories as needed for all the systems in this homework.
(Phase Plane sketch)a) Sketch (by hand) the vector field for the following systems. Indicate the length and direction of the vectors with reasonable accuracy. Exercise 2. • i = x, ÿ = x + y • i = -2y, ÿ = I Use the matlab code "pplane8.m" to sketch the vector fields and as many relevant trajectories as needed for all the systems in this homework.
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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part a
Given system is
The phase plane diagram is shown below.
The direction of the vector field is outward. Equilibrium point is unstable. In the following figure, trajectories are shown
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