116 Find the general solution to the system x'=Ax where A is the given matrix. 1 -4 474 A= 5 3 5₁0 | | | 2 a) Ox(t)= C, e cos(4 t) b) Ox(t)= Cecos(4t) ce cost -2 1-31- 5 cos(t) d) Ox(t)= Ce cos(4t) 5 1-³1- -2 + sin(4 t) -2 e) Ox(1) Cecos(4 t) 0 | || + ₂ 4 f) O None of the above. -2 -4t |-|-|-|||||||| c) Ox(t)= Ce · |· || + 0,₂0² | COR(E) | | + sin(1) | ~²³ ]]) sin (t) cos(t) 0 5 4 4 [11] | | + + C, e cos(4 t) 0 sin (4 t) 4 | || | || cos(4 t) sin( sin (4 t) 0 | |-2014 -2 5 sin (4 t) - sin (4 t) + sin(4 t) 4 -2 73³0 5 -2 0 2 | 3 || + ₂ ² [CORAD | 3³ | + [:D cos(4 t) + sin(4t) 5 | 2² | + 0,₂ ² (COR41 | 2² | + m (41) | ~ ³ )) t) sin(4 t) 5
116 Find the general solution to the system x'=Ax where A is the given matrix. 1 -4 474 A= 5 3 5₁0 | | | 2 a) Ox(t)= C, e cos(4 t) b) Ox(t)= Cecos(4t) ce cost -2 1-31- 5 cos(t) d) Ox(t)= Ce cos(4t) 5 1-³1- -2 + sin(4 t) -2 e) Ox(1) Cecos(4 t) 0 | || + ₂ 4 f) O None of the above. -2 -4t |-|-|-|||||||| c) Ox(t)= Ce · |· || + 0,₂0² | COR(E) | | + sin(1) | ~²³ ]]) sin (t) cos(t) 0 5 4 4 [11] | | + + C, e cos(4 t) 0 sin (4 t) 4 | || | || cos(4 t) sin( sin (4 t) 0 | |-2014 -2 5 sin (4 t) - sin (4 t) + sin(4 t) 4 -2 73³0 5 -2 0 2 | 3 || + ₂ ² [CORAD | 3³ | + [:D cos(4 t) + sin(4t) 5 | 2² | + 0,₂ ² (COR41 | 2² | + m (41) | ~ ³ )) t) sin(4 t) 5
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 30E
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