Express the following inhomogeneous system of first-order differential equations for x(t) and y(t) in matrix form: x˙ = 2x + y + 3e^t , y˙ = 4x − y. a) Write down, also in matrix form, the corresponding homogeneous system of equations. (b) Find the eigenvalues of the matrix of coefficients and an eigenvector corresponding to each eigenvalue. (c) Hence write down the complementary function

Express the following inhomogeneous system of first-order differential equations for x(t) and y(t) in matrix form: x˙ = 2x + y + 3e^t , y˙ = 4x − y. a) Write down, also in matrix form, the corresponding homogeneous system of equations. (b) Find the eigenvalues of the matrix of coefficients and an eigenvector corresponding to each eigenvalue. (c) Hence write down the complementary function

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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