[2 2] 3 1 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. Teft -2et e-6t 15 OA. 4(t) = ett ;u (t) = 3et 1 est 25 e4t 2et B. U(t) = e4t -3et 1 (t) = est 1 t - 15 e4t 2et O C. 4(t) =| e4t (t) = -3et 1 25 t+ e-6t e4t -2e* O D. 4(t) = (t) eft 3et eSt 25

[2 2] 3 1 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. Teft -2et e-6t 15 OA. 4(t) = ett ;u (t) = 3et 1 est 25 e4t 2et B. U(t) = e4t -3et 1 (t) = est 1 t - 15 e4t 2et O C. 4(t) =| e4t (t) = -3et 1 25 t+ e-6t e4t -2e* O D. 4(t) = (t) eft 3et eSt 25

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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