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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 53E
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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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