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categoryالرياضيات schoolبكالوريوس event_available2026-07-14

السؤال

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(1 point) Suppose (a) Find C1 and C2. C₁ = C₂ = 2 y2 y2 (t) = c₁e¯ x(1) + C₂e² 1 1 y1 -3 -2 -1 1 2 3 -3 -2 -1 1 2 3 -1 -2 -3 2 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? D (c) What is the approximate direction of travel for the solution curve, as t increases from - ∞ to +∞0? A. along the line x2 = -x₁ toward the origin and then along the line x2 = x1 away from the origin B. along the line x2 = x₁ toward the origin and then along the line x2 = -x1 away from the origin C. none of the above A 1 B 92 41 -3 -2 -1 1 2 3 -3 -2 -1 1 2 3 -1 -1 -2 -2 -9 C -9 D

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