blem 6 Find eigenvalues and eigen vectorts of the following matris. 5 2 Solve the following system with the given initial conditions. x' = = Bx x₁ (0) = 2 x₂(0) = -1 B =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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#6 Solution of Linear System
Problem 6
1. Find eigenvalues and eigenvectorts of the following matris.
- [2
2. Solve the following system with the given initial conditions.
B =
-9
-1
x' = Bx
x₁ (0) = 2 x₂ (0) = -1
3. Solve the nonhomogeneous linear system and find the general solution (no initial conditions).
x = Bx +
3x + 8
cos(2t)
Transcribed Image Text:Problem 6 1. Find eigenvalues and eigenvectorts of the following matris. - [2 2. Solve the following system with the given initial conditions. B = -9 -1 x' = Bx x₁ (0) = 2 x₂ (0) = -1 3. Solve the nonhomogeneous linear system and find the general solution (no initial conditions). x = Bx + 3x + 8 cos(2t)
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