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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please find all three parts. Thank you.
Need only handwritten solution only (not typed one).
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F568c82cc-2f28-4785-b5f1-1481889d6966%2F968bb1ce-fe52-40b7-a464-a1b1b3516d7b%2Foib45s_processed.png&w=3840&q=75)
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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