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Find the general solution to the system x' = Ax where A is the given matrix. -8 -4 - 1 A= -4 - 1 2 O -4 -3 Hint: -7 is an eigenvalue. -3t a) x(t)= C, e -71 +C.e .4 -8 1 - 1 1 b) O x(1)= C, e -7t + C. e C. 4 4 -2 -8 8- -7: c) O x(t)= C, e* + C, -3 +C,e 1 2 -2 2 4 - 1 2 -7t d) O x(1)= C, e -3 +C, e + C,e 2 -2 - 1 - 1 -31 -7t e) x(t)= C, e + C, 2 -2 f) O None of the above.

Find the general solution to the system x' = Ax where A is the given matrix. -8 -4 - 1 A= -4 - 1 2 O -4 -3 Hint: -7 is an eigenvalue. -3t a) x(t)= C, e -71 +C.e .4 -8 1 - 1 1 b) O x(1)= C, e -7t + C. e C. 4 4 -2 -8 8- -7: c) O x(t)= C, e* + C, -3 +C,e 1 2 -2 2 4 - 1 2 -7t d) O x(1)= C, e -3 +C, e + C,e 2 -2 - 1 - 1 -31 -7t e) x(t)= C, e + C, 2 -2 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. - 1 -8 -4 A= -4 - 1 2 O -4 -3 Hint: -7 is an eigenvalue. -3t a) x(t)= C, e -71 +C.e .4 -8 1 - 1 1 b) O x(t)= C, e 1+C2 -7t + C. e 4 4 -2 -8 8- -7: c) O x(t)= C, e* + C, -3 + Ce 2 1 -2 2 4 -1 2 -7t d) x(t)= C, e" -3 + C, e +C,e 1 2 -2 - 1 x(t)= C, e -31 -7t e) + C, 2 -2 f) O None of the above.
Transcribed Image Text:Find the general solution to the system x' = Ax where A is the given matrix. - 1 -8 -4 A= -4 - 1 2 O -4 -3 Hint: -7 is an eigenvalue. -3t a) x(t)= C, e -71 +C.e .4 -8 1 - 1 1 b) O x(t)= C, e 1+C2 -7t + C. e 4 4 -2 -8 8- -7: c) O x(t)= C, e* + C, -3 + Ce 2 1 -2 2 4 -1 2 -7t d) x(t)= C, e" -3 + C, e +C,e 1 2 -2 - 1 x(t)= C, e -31 -7t e) + C, 2 -2 f) O None of the above.
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