à = -3x+ 2y, ÿ = x – 2y i = -3x+4y, ý = –2x + 3y i = y, ÿ = –x – 2y
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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Question
only the boxed question (last 3)
![Exercise 5.
Sketch the phase portrait and classify the fixed point of the following
linear systems (using eigenvalues and eigenvectors). If the eigenvectors are real indicate them
in your plot.
• i = y, ÿ = –2x – 3y
%3D
• à = 3x – 4y, ý = x – Y
• i = 5x + 2y, ý = -17x – 5y
%3D
• i = 4x – 3y, ý = 8x – 6y
%3D
• i = 5x + 10y, ÿ = –x – y
• È = -3x + 2y, ý = x – 2y
%3D
• i = -3x + 4y, ÿ = –2x + 3y
• i = y, ÿ = –x – 2y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b0185de-0645-4c2a-aea4-e046d61ab5cb%2F2ec173e7-9995-4398-b38f-577be1796968%2F4h7o2qj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 5.
Sketch the phase portrait and classify the fixed point of the following
linear systems (using eigenvalues and eigenvectors). If the eigenvectors are real indicate them
in your plot.
• i = y, ÿ = –2x – 3y
%3D
• à = 3x – 4y, ý = x – Y
• i = 5x + 2y, ý = -17x – 5y
%3D
• i = 4x – 3y, ý = 8x – 6y
%3D
• i = 5x + 10y, ÿ = –x – y
• È = -3x + 2y, ý = x – 2y
%3D
• i = -3x + 4y, ÿ = –2x + 3y
• i = y, ÿ = –x – 2y
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