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-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
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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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
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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