The given vector functions are solutions to the system x'( Ax(t) 3 4 X= e 8 -7 Determine whether the vector functions torm a fundamental solution set Select the correct choice below and fill in the answer box(es) to complete your choice. O A. No, the vector functions do not form a fundamental solution set because the Wronskian is O B. Yes, the vector functions torm a fundamental solution setbecause the Wronskian i The fundamental matrix for the system is State the general solution to the system x'(t) Ax() Select the berect choice below and, if necessary, fill in the answer box to complete your choice. O A The general solution is x(t) = O B. A general solution does not exist.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The given vector functions are solutions to the system x'(O Ax(t)
9t
4
et
X= e
Determine whether the vector functions form a fundamental solution set Select the correct choice below and fill in the answer box(es) to complete your choice.
O A. No. the vector functions do not form a fundamental solution set because the Wronskian is
O B. Yes, the vector functions torm a fundamental solution setbocause the Wronskian is The fundamental matrix tor the system is
State the general solution to the system x'(t)- Ax() Sclect the ootrect choice below and, it necessary, fill in the answer box to complete your choice.
OA.
The general solution is x(t)
O B. A general solution does not exist.
Transcribed Image Text:The given vector functions are solutions to the system x'(O Ax(t) 9t 4 et X= e Determine whether the vector functions form a fundamental solution set Select the correct choice below and fill in the answer box(es) to complete your choice. O A. No. the vector functions do not form a fundamental solution set because the Wronskian is O B. Yes, the vector functions torm a fundamental solution setbocause the Wronskian is The fundamental matrix tor the system is State the general solution to the system x'(t)- Ax() Sclect the ootrect choice below and, it necessary, fill in the answer box to complete your choice. OA. The general solution is x(t) O B. A general solution does not exist.
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