Prove that the general solution of the nonhomogeneous linear system, 6 x-(1-1)×(1)²² · (-)-(-) X + + t + X' = on the interval (-∞, ∞) is the following. Let X₁ 1 1 -2 1 x = √(-₁² √₂)√²+ + ₂/(₁+² √₂) ₁-√² + (1) ²2² + (-²) ₁ + (²) -1 e − 1 e-v 1 1 = (-₁ -² √₂ ) o√²², ×₂ = ( − 1 + √₂ ) e-√²¹, x₂ − (¹) ₁² + (−²)² + (1) = ¹2 t - P and A = (1-1). Then
Prove that the general solution of the nonhomogeneous linear system, 6 x-(1-1)×(1)²² · (-)-(-) X + + t + X' = on the interval (-∞, ∞) is the following. Let X₁ 1 1 -2 1 x = √(-₁² √₂)√²+ + ₂/(₁+² √₂) ₁-√² + (1) ²2² + (-²) ₁ + (²) -1 e − 1 e-v 1 1 = (-₁ -² √₂ ) o√²², ×₂ = ( − 1 + √₂ ) e-√²¹, x₂ − (¹) ₁² + (−²)² + (1) = ¹2 t - P and A = (1-1). Then
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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