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1. Find eigenvalues and eigenvectorts of the following matris. 5 -9 --3 B = 2 2. Solve the following system with the given initial conditions. x' = Bx x₁ (0) = 2 x₂ (0) = -1

1. Find eigenvalues and eigenvectorts of the following matris. 5 -9 --3 B = 2 2. Solve the following system with the given initial conditions. x' = Bx x₁ (0) = 2 x₂ (0) = -1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 6 1. Find eigenvalues and eigenvectorts of the following matris. 5 -9 2 -1 2. Solve the following system with the given initial conditions. x' = Bx x₁ (0) = 2 x₂(0) = −1 3. Solve the nonhomogeneous linear system and find the general solution (no initial conditions). B = 0 + [1] x' = Bx + cos(2t)
Transcribed Image Text:Problem 6 1. Find eigenvalues and eigenvectorts of the following matris. 5 -9 2 -1 2. Solve the following system with the given initial conditions. x' = Bx x₁ (0) = 2 x₂(0) = −1 3. Solve the nonhomogeneous linear system and find the general solution (no initial conditions). B = 0 + [1] x' = Bx + cos(2t)
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