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The motion of a particle is defined by the following equations: dx dy = x – 2y and dt = 5 x – y with X(0) = 2 and y(0) = -1 %3D - dt

The motion of a particle is defined by the following equations: dx dy = x – 2y and dt = 5 x – y with X(0) = 2 and y(0) = -1 %3D - dt

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a. Find x(t) and y(t)

b. If x(t) and y(t) are periodic, find their amplitudes and periods

c. Which of the attached graphs represents the motion?

                               A       or             B     or          Neither

4.00 400 3.00 3.00 2.00 1.00 1.00 -260 -3po 2po -100 o.po -20 -1E0 -100 0. bo 0.00 100 10 2.00 2. E0 1 po 2 po 3. Do 1.00 -100 2.00 200 300 400 4.00 Graph A Graph B
Transcribed Image Text:4.00 400 3.00 3.00 2.00 1.00 1.00 -260 -3po 2po -100 o.po -20 -1E0 -100 0. bo 0.00 100 10 2.00 2. E0 1 po 2 po 3. Do 1.00 -100 2.00 200 300 400 4.00 Graph A Graph B
The motion of a particle is defined by the following equations: dx dy —D х — 2у and dt 5 x – y with X(0) = 2 and y(0) = -1 %3D - dt
Transcribed Image Text:The motion of a particle is defined by the following equations: dx dy —D х — 2у and dt 5 x – y with X(0) = 2 and y(0) = -1 %3D - dt
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