Homework 16:Question 3 We have seen that a system of two linear homogeneous differential equations with constantcoefficients can be written in matrix form asx'= Ax.We have also seen that the general solution to such a system can be written as(1) x = ₁k₁e¹₁ + ₂kze ¹2twhere A₁ 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.-2 -71*-[3])x' =0x-180-180C1

Answered: Image /qna-images/answer/1eba8899-8312-40c1-80ae-2ffc9ac95031.jpg

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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