تم الحل ✓
categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
(1 point)
Suppose
y(t) = c₁et
+ C₂et
2
7(1) = [3] |
H
(a) Find cl and c₂
C₁ =|
C2 =||
(b) Sketch the phase plane trajectory that satisfies the given initial condition.
Which graph most closely resembles the graph you drew? Choose
(c) What is the approximate direction of travel for the solution curve, as t
increases from -od to +oop
A. along the line y = -x toward the origin and then along the line y = x away
from the origin
B. along the line y = toward the origin and then along the line y = -away
from the origin
O C. none of the above
-2
3
y2
2
1
-2
-3
A
2
-2
y2
0
3
2
1
y2
yl
yl
1
2
-1
1
-1
-2
-3
41
-2
B
2
1
-2
y2
D
41
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