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Verify that the vector X is a solution of the given homogeneous system. For X = (3) e- Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. = X': = (3) X': || dx dt = dy dt e = 3x - 3y AX = = 3 3 I 3x - 7y; one has -3 -7 X= Since the above expressions ---Select--- X -6t X = (3) e is a solution of the given system. -6t

Verify that the vector X is a solution of the given homogeneous system. For X = (3) e- Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. = X': = (3) X': || dx dt = dy dt e = 3x - 3y AX = = 3 3 I 3x - 7y; one has -3 -7 X= Since the above expressions ---Select--- X -6t X = (3) e is a solution of the given system. -6t

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 dt x = (¹) e-ot Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. For X = X'= (3) X' = = 3x - 3y dy 3x - 7y; dt AX = = 3 3 -6t e one has " -3 -7 Since the above expressions ---Select--- X X - (¹) • = 3 -6t is a solution of the given system.
Transcribed Image Text:Verify that the vector X is a solution of the given homogeneous system. dx dt x = (¹) e-ot Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. For X = X'= (3) X' = = 3x - 3y dy 3x - 7y; dt AX = = 3 3 -6t e one has " -3 -7 Since the above expressions ---Select--- X X - (¹) • = 3 -6t is a solution of the given system.
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