تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
(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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