Consider the nonhomogeneous system X' = X + Find a fundamental matrix 4(t) for the associated homogeneous system. Also, determine the vector u (t) satisfying the equation X(t) = 4(t) u (t) which is a particular solution of the nonhomogeneous system. 3 [2e-St A. Y(t) = 56 49 ;u (t) = 3e2t t + 3 est 56 e7t + [-2e-St 2t B. 4(t) = est 3e2t e-St u (t) = 3 est 56 [2e-St O C. W(t) =| est u (t) = est e7t 2eSt e2t 56 49 D. Y(t) = eSt u (t) = %3D 3e2t t

Consider the nonhomogeneous system X' = X + Find a fundamental matrix 4(t) for the associated homogeneous system. Also, determine the vector u (t) satisfying the equation X(t) = 4(t) u (t) which is a particular solution of the nonhomogeneous system. 3 [2e-St A. Y(t) = 56 49 ;u (t) = 3e2t t + 3 est 56 e7t + [-2e-St 2t B. 4(t) = est 3e2t e-St u (t) = 3 est 56 [2e-St O C. W(t) =| est u (t) = est e7t 2eSt e2t 56 49 D. Y(t) = eSt u (t) = %3D 3e2t t

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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