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Verify that the vector X is a solution of the given homogeneous system. dx Зх— Зу dt Ap Зх — 7у; dt x-(1)~* -6t e Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. X' = х (3) For X = e -6t one has X' = AX = 6t Since the above expressions ---Select-- is a solution of the given system. 3

Verify that the vector X is a solution of the given homogeneous system. dx Зх— Зу dt Ap Зх — 7у; dt x-(1)~* -6t e Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. X' = х (3) For X = e -6t one has X' = AX = 6t Since the above expressions ---Select-- is a solution of the given system. 3

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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Verify that the vector X is a solution of the given homogeneous system. dx Зх— Зу dt Ap Зх — 7у; dt x-(1)~* -6t e Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. X' = х (3) For X = e -6t one has X' = AX = 6t Since the above expressions ---Select-- is a solution of the given system. 3
Transcribed Image Text:Verify that the vector X is a solution of the given homogeneous system. dx Зх— Зу dt Ap Зх — 7у; dt x-(1)~* -6t e Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. X' = х (3) For X = e -6t one has X' = AX = 6t Since the above expressions ---Select-- is a solution of the given system. 3
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