Problem 5 1. Solve the following linear system. -5 0 0 -6 6 2. Solve the system in part (1) with the given initial condition. -4 6 2 x'(t) = 0 x(t) x3 (0) = 2 x₁ (0) = -1 x₂ (0) = 1 Hint: Use the previous problem for eigenvalues and eigenvectors.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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#5 Solution of Linear system
Problem 5
1. Solve the following linear system.
-5
-4 6
0
2 0 x(t)
0
-6 6
2. Solve the system in part (1) with the given initial condition.
x' (t) =
x3 (0) = 2
x₁ (0) = -1
x₂(0) = 1
Hint: Use the previous problem for eigenvalues and eigenvectors.
Transcribed Image Text:Problem 5 1. Solve the following linear system. -5 -4 6 0 2 0 x(t) 0 -6 6 2. Solve the system in part (1) with the given initial condition. x' (t) = x3 (0) = 2 x₁ (0) = -1 x₂(0) = 1 Hint: Use the previous problem for eigenvalues and eigenvectors.
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