We have seen that a system of two linear homogeneous differential equations with constant coefficients can be written in matrix form as x'= Ax. We have also seen that the general solution to such a system can be written as (1) π = c₁k₁e¹₁t + c₂kzełzt where X₁ and X₂ are eigenvalues of A and ₁ and ₂ are corresponding eigenvectors. Solve the system of differential equations below and write your answer in the form of equation (1) above. x': [2² x -1810-181-
We have seen that a system of two linear homogeneous differential equations with constant coefficients can be written in matrix form as x'= Ax. We have also seen that the general solution to such a system can be written as (1) π = c₁k₁e¹₁t + c₂kzełzt where X₁ and X₂ are eigenvalues of A and ₁ and ₂ are corresponding eigenvectors. Solve the system of differential equations below and write your answer in the form of equation (1) above. x': [2² x -1810-181-
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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