The given vector functions are solutions to the system x'(t) = Ax(t). 9 X,= e5t 3 L7 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 form a fundamental solution set because the Wronskian is The fundamental matrix for the system is State the general solution to the system x'(t) = Ax(t Select the correct 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
The given vector functions are solutions to the system x'(t) = Ax(t). 9 X,= e5t 3 L7 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 form a fundamental solution set because the Wronskian is The fundamental matrix for the system is State the general solution to the system x'(t) = Ax(t Select the correct 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
Problem 1RQ
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Transcribed Image Text:The given vector functions are solutions to the system x'(t) = Ax(t).
X, = e5t 3
X, = e
7
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 form a fundamental solution set because the Wronskian is
The fundamental matrix for the system is
State the general solution to the system x'(1) = Ax(t Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The general solution is x(t) =
B. A general solution does not exist.
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