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Oksanka
[162]
3 years ago
12
How do I do this? please detail steps.
Mathematics
Answer
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1
answer:
vladimir2022
[97]
3 years ago
7
0
Define
Then
x₁ = cos(t) x₁(0) + sin(t) x₂(0)
x₂ = -sin(t) x₁(0) + cos(t) x₂(0)
Differentiate to obtain
x₁' = -sin(t) x₁(0) + cos(t) x₂(0)
x₂' = -cos(t) x₁(0) - sin(t) x₂(0)
That is,
Note that
Therefore
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