Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. 2 1 X' = ·= ( ² ↓)× - (₁¹)e²; ׂ = (¹)² + (-1) tet let 56 11 For Xp = 1 (1¹)e² + (-¹) ce², tet, one has Xp' = ( ²1 ) x₂ - (₁₁) ² - et Since the above expressions ---Select--- ☺.Xp - (₁) ₁² + ( ₁ ) tet 1 -1 tet is a particular solution of the given system.
Verify that the vector X, is a particular solution of the given nonhomogeneous linear system. 2 1 X' = ·= ( ² ↓)× - (₁¹)e²; ׂ = (¹)² + (-1) tet let 56 11 For Xp = 1 (1¹)e² + (-¹) ce², tet, one has Xp' = ( ²1 ) x₂ - (₁₁) ² - et Since the above expressions ---Select--- ☺.Xp - (₁) ₁² + ( ₁ ) tet 1 -1 tet is a particular solution of the given system.
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:Verify that the vector X, is a particular solution of the given nonhomogeneous linear system.
Xp
For Xp
*' - (²₂) × - (₁₁)¹; *, -(1)² + (-1) out
↓)× let; Xp
2 1
=
X'
et tet
5 6
=
· ( ¹)e² + (-1¹)te²,
one has
Xp'
2 1
(3²) × - (₁1) ² -
(11)et.
5 6
P
Since the above expressions ---Select---
✪, Xp
1
= (-¹) tel
le +
1
tet is a particular solution of the given system.
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