4.4 For initial conditions x(0) = [10] and x(0) = [00] calculate the free response of the system of Problem 4.2. Plot the response x1 and x2. Solution: x₁ (t) = = 0.916 cos 1.642t+ 0.0841cos 2.511t x2(t) = 0.833(cos1.642t – cos 2.511t)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question
4.4
For initial conditions x(0) = [10] and x(0) = [00] calculate the free response of the
system of Problem 4.2. Plot the response x1 and x2.
Solution:
x₁ (t) =
= 0.916 cos 1.642t+ 0.0841cos 2.511t
x2(t) = 0.833(cos1.642t – cos 2.511t)
Transcribed Image Text:4.4 For initial conditions x(0) = [10] and x(0) = [00] calculate the free response of the system of Problem 4.2. Plot the response x1 and x2. Solution: x₁ (t) = = 0.916 cos 1.642t+ 0.0841cos 2.511t x2(t) = 0.833(cos1.642t – cos 2.511t)
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