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Find the general solution to the system x ' = Ax where A is the given matrix. -2 A= -1 -2 4 a) O x(t)= C, e" cos( 2t) sin(2t) cos( 2 t) + sin (2t) -2 -2t b) O x(1)= C, e*" cos( 2 t) + sin (2t) -2 cos( 2 t) - sin(2t) +C, c) O x(t)= C, e" cos( 2 t) sin (2t) 1 cos( 2t) + sin (2t) + -2 + sin (2t) -21 d) O x(1)= C, e cos( 2t) - sin(2t) + C, cos( 2 t) -2 e) O x(t)= C, e" | cos( 2t) + sin (2t) + C cos( 2t) - sin (2t) f) O None of the above.

Find the general solution to the system x ' = Ax where A is the given matrix. -2 A= -1 -2 4 a) O x(t)= C, e" cos( 2t) sin(2t) cos( 2 t) + sin (2t) -2 -2t b) O x(1)= C, e*" cos( 2 t) + sin (2t) -2 cos( 2 t) - sin(2t) +C, c) O x(t)= C, e" cos( 2 t) sin (2t) 1 cos( 2t) + sin (2t) + -2 + sin (2t) -21 d) O x(1)= C, e cos( 2t) - sin(2t) + C, cos( 2 t) -2 e) O x(t)= C, e" | cos( 2t) + sin (2t) + C cos( 2t) - sin (2t) f) O None of the above.

Advanced Engineering Mathematics
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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Find the general solution to the system x' = Ax where A is the given matrix. -2 A= -1 -2 4 D 1 a) O x(t)= C, e cos( 2t) 2. - sin(21) cos( 2t) sin (21) + -2 -2t + C, -21 b) O x(1)= C, e " cos(21) cos( 2 + sin (2t) -2 cos( 2 t) sin (2t) 2 1 -2t x(1)= C, e -21 cos( 2 t) sin (2t) 1 +C, e cos( 21) + sin(2t) -2 2 + sin (2t) -2t d) O x(1)= C, e2 cos( 21) - sin(2t) -2t +C, cos( 2t) -2 + sin(2t) 2 -2t e) O x(t)= C, e" cos( 2 t) + C, e cos(21) sin (2t) 1 f) O None of the above.
Transcribed Image Text:Find the general solution to the system x' = Ax where A is the given matrix. -2 A= -1 -2 4 D 1 a) O x(t)= C, e cos( 2t) 2. - sin(21) cos( 2t) sin (21) + -2 -2t + C, -21 b) O x(1)= C, e " cos(21) cos( 2 + sin (2t) -2 cos( 2 t) sin (2t) 2 1 -2t x(1)= C, e -21 cos( 2 t) sin (2t) 1 +C, e cos( 21) + sin(2t) -2 2 + sin (2t) -2t d) O x(1)= C, e2 cos( 21) - sin(2t) -2t +C, cos( 2t) -2 + sin(2t) 2 -2t e) O x(t)= C, e" cos( 2 t) + C, e cos(21) sin (2t) 1 f) O None of the above.
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