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Verify that the vector X is a solution of the given homogeneous linear system. X' = (3 cos(t) (sin(t)) et sin(t), Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. For or (30 X' = -2 -2 AX = dx dt dy dt = -2x + 5y - = -2x + 4y; 5 5 cos(t) (3 cos(t) sin(t), 4 1) et, 00 x = X X one has 5 cos(t)

Verify that the vector X is a solution of the given homogeneous linear system. X' = (3 cos(t) (sin(t)) et sin(t), Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. For or (30 X' = -2 -2 AX = dx dt dy dt = -2x + 5y - = -2x + 4y; 5 5 cos(t) (3 cos(t) sin(t), 4 1) et, 00 x = X X one has 5 cos(t)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
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Verify that the vector X is a solution of the given homogeneous linear system. X' = (sin(t)) et (3 cos(t) sin(t), Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. For or (3 c -2 X' = -2 AX = dx dt dy dt = -2x + 5y = -2x + 4y; 5 cos(t) - 5 (3 cos(t) sin(t) 4 1) et, DO x - X X one has 5 cos(t)
Transcribed Image Text:Verify that the vector X is a solution of the given homogeneous linear system. X' = (sin(t)) et (3 cos(t) sin(t), Writing the system in the form X' = AX for some coefficient matrix A, one obtains the following. For or (3 c -2 X' = -2 AX = dx dt dy dt = -2x + 5y = -2x + 4y; 5 cos(t) - 5 (3 cos(t) sin(t) 4 1) et, DO x - X X one has 5 cos(t)
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