2. Consider the system -2x + y -2y and its corresponding direction field. (a) Skotch a number of different solution curves on the phase plane. (b) Describe the behavior of the solution that satisfies the IC (ro. yo) = (0, 2).

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2. Consider the system
dr
-2r +y
dt
and its corresponding direction field.
(a) Sketch a number of different solution curves on the phase plane.
(b) Describe the behavior of the solution that satisfies the IC (zo, yo) = (0, 2).
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Transcribed Image Text:2. Consider the system dr -2r +y dt and its corresponding direction field. (a) Sketch a number of different solution curves on the phase plane. (b) Describe the behavior of the solution that satisfies the IC (zo, yo) = (0, 2). %3D
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