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Solve the initial value problem Describe the behavior of the solution as t → ∞0. O e-61 + x₁ → ∞ and x₂ → ∞ast → ∞. X = - ²/ ( ) = ² - ²/1 ( ₂ ) ₁² ² e-61 e-21 X₁ → 0 and x₂ →0 ast →.00 O X = X₁ → X = por 21 X = ²/ (√) ²² X₁ and x₂ →∞oast → ∞. -∞ and x₂ → -∞ast →∞ - e21 ¾ (₁) ²² 5 = ² (₁) ² - ² (₂) ²¹ 61 21 X₁ →∞and X₂ →∞ast → ∞0. *-(-1)×(0)-(₂) x = 5 = = (¹-4).

Solve the initial value problem Describe the behavior of the solution as t → ∞0. O e-61 + x₁ → ∞ and x₂ → ∞ast → ∞. X = - ²/ ( ) = ² - ²/1 ( ₂ ) ₁² ² e-61 e-21 X₁ → 0 and x₂ →0 ast →.00 O X = X₁ → X = por 21 X = ²/ (√) ²² X₁ and x₂ →∞oast → ∞. -∞ and x₂ → -∞ast →∞ - e21 ¾ (₁) ²² 5 = ² (₁) ² - ² (₂) ²¹ 61 21 X₁ →∞and X₂ →∞ast → ∞0. *-(-1)×(0)-(₂) x = 5 = = (¹-4).

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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Solve the initial value problem Describe the behavior of the solution as t → ∞. O + $/ (5) ²² x₁ → ∞ and x₂ → ∞ast → ∞. O X = X = XI → e-61 + X₁ → 0 and x₂ →0 ast →.00 -61 e-21 X = ²/ ( )e² - ¾/ (s) ² -∞ and x₂ → -∞ast → ∞ O ²x = ²( ) - ( ) -² ²² ¾ X x₁ →∞and x₂ →∞ast → ∞. 5 ² (₁) ² - (₂) ²¹ 61 21 x₁ →∞and X₂ →∞ast → ∞0, *-(-1)×(0)-(₂) = 5 = = -4
Transcribed Image Text:Solve the initial value problem Describe the behavior of the solution as t → ∞. O + $/ (5) ²² x₁ → ∞ and x₂ → ∞ast → ∞. O X = X = XI → e-61 + X₁ → 0 and x₂ →0 ast →.00 -61 e-21 X = ²/ ( )e² - ¾/ (s) ² -∞ and x₂ → -∞ast → ∞ O ²x = ²( ) - ( ) -² ²² ¾ X x₁ →∞and x₂ →∞ast → ∞. 5 ² (₁) ² - (₂) ²¹ 61 21 x₁ →∞and X₂ →∞ast → ∞0, *-(-1)×(0)-(₂) = 5 = = -4
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