Suppose a system of constant coefficient differential equations - Az has a 2 x 2 matrix A with Find the real part ₁ and the eigenvalues A1, A2 = 2 ±6i and A₁ = 2 + 6i has eigenvector [1+1 1+ imaginary part ₂ and write the fundamental matrix [1 2] for the general solution:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 12CR
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Suppose a system of constant coefficient differential equations z'- Az has a 2 x 2 matrix A with
1
Find the real part ₁ and the
eigenvalues A1, A₂ = 262 and A₁ = 2 + 6¿ has eigenvector
-1+ ¿
imaginary part ₂ and write the fundamental matrix [1₂] for the general solution:
Transcribed Image Text:Suppose a system of constant coefficient differential equations z'- Az has a 2 x 2 matrix A with 1 Find the real part ₁ and the eigenvalues A1, A₂ = 262 and A₁ = 2 + 6¿ has eigenvector -1+ ¿ imaginary part ₂ and write the fundamental matrix [1₂] for the general solution:
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