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The motion of a particle is defined by the following equations:     dx/dt = x-2y and dy/dt = 5x-y      with  x(0) = 2 and y(0) = -1 Find x(t) and y(t)

The motion of a particle is defined by the following equations:     dx/dt = x-2y and dy/dt = 5x-y      with  x(0) = 2 and y(0) = -1 Find x(t) and y(t)

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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The motion of a particle is defined by the following equations:

    dx/dt = x-2y and dy/dt = 5x-y      with  x(0) = 2 and y(0) = -1

  1. Find x(t) and y(t)
  2. If x(t) and y(t) are periodic, find their amplitudes and periods
  3. Which of the attached graphs represents the motion? (Circle answer)

                               A                    B               Neither

400 4.00 3.00 2,00 100 1.00 -100 10 200 Spo 2po opo 1 bo 2 bo 100 4.00 2.00 200
Transcribed Image Text:400 4.00 3.00 2,00 100 1.00 -100 10 200 Spo 2po opo 1 bo 2 bo 100 4.00 2.00 200
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