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

Find the general solution to the system x' = Ax where A is the given matrix. -1 4 A= -1 3 2 +C. e - 1 a) x(t)= C, e +te -1 b) O x(t)= C, e* + C,te -2 2 - 1 c) O x(t)= C, e + C. e 2 2 +te - 1 + 2 -t - 1 d) O x(1)= C, e -t e +te 1 - 1 O x(t)= C, e te 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 4 A= -1 3 2 - 1 a) x(t)= C, e +C.e 2 +te 1 -1 b) O x(1)= C, e* + C,te -2 2 - 1 c) O x(t)= C, e + C.e 2 2 +te - 1 + 2 -t -1 d) O x(t)= C, e -t e +te 1 + C, te -2 - 1 O (t)= C, e f) None of the above.
Transcribed Image Text:Find the general solution to the system x' = Ax where A is the given matrix. -1 4 A= -1 3 2 - 1 a) x(t)= C, e +C.e 2 +te 1 -1 b) O x(1)= C, e* + C,te -2 2 - 1 c) O x(t)= C, e + C.e 2 2 +te - 1 + 2 -t -1 d) O x(t)= C, e -t e +te 1 + C, te -2 - 1 O (t)= C, e f) None of the above.
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