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Pe M w W Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. 3/8 615 X' = dx dt x₁ = (-²)² + (²) Writing the system in the form X'= AX+F for some coefficient matrix A and vector F, one obtains the following. dy dt 1 For Xp = x + 4y + 2t-4. 3 = 3x + 2y - 4t9; X = 4 2 - (-²) + (3). AX + F = X+t one has i > X X Since the above expressions are equal Need Help? Read It 2 -4 > 59 · ·*. - (-) - (1) « 4 is a particular solution of the given system,

Pe M w W Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. 3/8 615 X' = dx dt x₁ = (-²)² + (²) Writing the system in the form X'= AX+F for some coefficient matrix A and vector F, one obtains the following. dy dt 1 For Xp = x + 4y + 2t-4. 3 = 3x + 2y - 4t9; X = 4 2 - (-²) + (3). AX + F = X+t one has i > X X Since the above expressions are equal Need Help? Read It 2 -4 > 59 · ·*. - (-) - (1) « 4 is a particular solution of the given system,

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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20 W w W Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. dx dt dy x = (-3) + (2) Writing the system in the form X'= AX+F for some coefficient matrix A and vector F, one obtains the following. X' = dt 1 For Xp = x + 4y + 2t-4. 3 = 3x + 2y-4t-9; X₂ 4 2 - (-²) + (3). AX + F = X+t one has i J X X Since the above expressions are equal Need Help? Read It 2 -4 > -9 *-(-)-(1)- 4 is a particular solution of the given system
Transcribed Image Text:20 W w W Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. dx dt dy x = (-3) + (2) Writing the system in the form X'= AX+F for some coefficient matrix A and vector F, one obtains the following. X' = dt 1 For Xp = x + 4y + 2t-4. 3 = 3x + 2y-4t-9; X₂ 4 2 - (-²) + (3). AX + F = X+t one has i J X X Since the above expressions are equal Need Help? Read It 2 -4 > -9 *-(-)-(1)- 4 is a particular solution of the given system
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