(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
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(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
b, .
many relevant trajectories as needed for all the systems in this homework.
Use the matlab code "pplane8.m" to sketch the vector fields and as
Transcribed Image Text:(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 b, . many relevant trajectories as needed for all the systems in this homework. Use the matlab code "pplane8.m" to sketch the vector fields and as
Expert Solution
part a

Given system is 

dxdt=xdydt=x+y

The phase plane diagram is shown below.

Advanced Math homework question answer, step 1, image 1

The direction of the vector field is outward. Equilibrium point is unstable. In the following figure, trajectories are shown 

Advanced Math homework question answer, step 1, image 2

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