Problem 6 1. Find eigenvalues and eigenvectorts of the following matris. B = Solution: 5 -9 2. Solve the following system with the given initial conditions. x = Bx 2₁ (0) = 2 ₂ (0) = -1 3. Solve the nonhomogeneous linear system and find the general solution (no initial conditions). x' = Bx + A cos(21)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Problem 6
1. Find eigenvalues and eigenvectorts of the following matris.
B =
Solution:
5 -9
2. Solve the following system with the given initial conditions.
x = Bx
x₁ (0) = 2
₂ (0) = -1
3. Solve the nonhomogeneous linear system and find the general solution (no initial conditions).
x = Bx +
A
cos(21)
Transcribed Image Text:Problem 6 1. Find eigenvalues and eigenvectorts of the following matris. B = Solution: 5 -9 2. Solve the following system with the given initial conditions. x = Bx x₁ (0) = 2 ₂ (0) = -1 3. Solve the nonhomogeneous linear system and find the general solution (no initial conditions). x = Bx + A cos(21)
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