Question Two 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) If x(t) and y(t) are periodic, find their amplitudes and periods

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question Two

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
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