숲 ()-CDG) + (3)dWhat is the general solution of the above inhomogeneous state space equations?C) = ,) , ½ = C)= (";)%3D%3DV22.Eigen vectors as aboveChoose to be V2 is the generalized Eigen vectorx1(t) = C, e¬t + C2 (t + 1) e¬t + 4x2(t) = C, e-t + Cz t e¬t + 3%3Db)x1(t) = C, e¬t + C2 (t – 1) e¬t + 2x2(t) = C, e-t + C2 t e¬t + 1x1(t) = C, e¬t + C2 (t – 1) e¬t - 2x2(t) = -C, e¬tC2 t e¬t + 7%3Dd)x1 (t) = C, e¬t + Cz t e=t + 7x2(t) = 2 C, e¬t + C2 (2 t – 1) e-t + 10x1(t) = C, e¬t + C2 (t + 1) e¬t + 8C2 t e-t – 3%3Dx2(t) = -C, e¬tx1(t) = C, e¬t + C2t e=t - 1x2(t) = 2 C, e¬t + C2 (2 t + 1) et - 6%3D

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di ) = (} a G) = (3 )G) + (G) What is the general solution of the above inhomogeneous state space equations? V, = (C) = (), v. = () = C7) %3D V2. Eigen vectors as above Choose to be V2 is the generalized Eigen vector x1(t) = C e=t + C2 (t + 1) e¬t + 4 x2(t) = C, e¬t + C2 t e¬t + 3 b) x1(t) = C, e¬t + C2 (t – 1) e¬t + 2 x2(t) = C, e¬t + C2t e¬t + 1 x1(t) = C, e=t + C2 (t – 1) e¬t - 2 C2 t e¬t + 7 x2(t) = -C e¬t %3D d) x1 (t) = C e¬t + Cz te=t + 7 x2(t) = 2 C, e¬t + C2 (2 t – 1) e¬t + 10 x1(t) = C, e¬t + C2 (t + 1) e¬t + 8 C2 t e¬t – 3 x2(t) = -C e¬t x1 (t) = C, e¬t + C2 te¬t - 1 x2(t) = 2 C, e¬t + C2 (2 t + 1) e¯t - 6

di ) = (} a G) = (3 )G) + (G) What is the general solution of the above inhomogeneous state space equations? V, = (C) = (), v. = () = C7) %3D V2. Eigen vectors as above Choose to be V2 is the generalized Eigen vector x1(t) = C e=t + C2 (t + 1) e¬t + 4 x2(t) = C, e¬t + C2 t e¬t + 3 b) x1(t) = C, e¬t + C2 (t – 1) e¬t + 2 x2(t) = C, e¬t + C2t e¬t + 1 x1(t) = C, e=t + C2 (t – 1) e¬t - 2 C2 t e¬t + 7 x2(t) = -C e¬t %3D d) x1 (t) = C e¬t + Cz te=t + 7 x2(t) = 2 C, e¬t + C2 (2 t – 1) e¬t + 10 x1(t) = C, e¬t + C2 (t + 1) e¬t + 8 C2 t e¬t – 3 x2(t) = -C e¬t x1 (t) = C, e¬t + C2 te¬t - 1 x2(t) = 2 C, e¬t + C2 (2 t + 1) e¯t - 6

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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