-4x1 3. Consider the system (f). -x1 + 3x2 (a) Sketch the phase portrait of (t). (b) Sketch the phase portrait obtained by a clockwise rotation of 37/2 of the phase portrait of (t). Determine the transformation matrix M and the new system. (c) Sketch the phase portrait obtained by a translation of the fixed point of (t) to the point (-1, 2). Determine the corresponding new system.
-4x1 3. Consider the system (f). -x1 + 3x2 (a) Sketch the phase portrait of (t). (b) Sketch the phase portrait obtained by a clockwise rotation of 37/2 of the phase portrait of (t). Determine the transformation matrix M and the new system. (c) Sketch the phase portrait obtained by a translation of the fixed point of (t) to the point (-1, 2). Determine the corresponding new system.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
TOPIC : Ordinary DE
PLEASE MAKE THE SOLUTION COMPLETE, UNDERSTANDABLE AND READABLE.
![x₁
=
- 4x1
(f).
x'z =
-x1 + 3x2
(a) Sketch the phase portrait of (†).
(b) Sketch the phase portrait obtained by a clockwise rotation of 37/2 of the phase
portrait of (†). Determine the transformation matrix M and the new system.
(c) Sketch the phase portrait obtained by a translation of the fixed point of (†) to the
point (-1,2). Determine the corresponding new system.
3. Consider the system](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F404063d8-1253-44f6-b7a8-dd240310c466%2Ffb3120a3-7ee2-48d7-8d91-821e724aed28%2Fi50y7q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x₁
=
- 4x1
(f).
x'z =
-x1 + 3x2
(a) Sketch the phase portrait of (†).
(b) Sketch the phase portrait obtained by a clockwise rotation of 37/2 of the phase
portrait of (†). Determine the transformation matrix M and the new system.
(c) Sketch the phase portrait obtained by a translation of the fixed point of (†) to the
point (-1,2). Determine the corresponding new system.
3. Consider the system
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