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Consider the initial value problem Find the eigenvalue X, an eigenvector ₁, and a generalized eigenvector 2 for the coefficient matrix of this linear system. λ = V₁ = v₂ = help (formulas) help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use c₁ and c₂ to denote arbitrary constants, and enter them as "c1" and "c2". x₁(t) = x₂ (t) = Solve the original initial value problem. x₁ (t) = x₂(t) = help (formulas) help (formulas) x₁ = x₂ = help (formulas) x₁ (0) = 2, 3x2, -3x₁ +6x2, x₂(0) = 6.

Consider the initial value problem Find the eigenvalue X, an eigenvector ₁, and a generalized eigenvector 2 for the coefficient matrix of this linear system. λ = V₁ = v₂ = help (formulas) help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use c₁ and c₂ to denote arbitrary constants, and enter them as "c1" and "c2". x₁(t) = x₂ (t) = Solve the original initial value problem. x₁ (t) = x₂(t) = help (formulas) help (formulas) x₁ = x₂ = help (formulas) x₁ (0) = 2, 3x2, -3x₁ +6x2, x₂(0) = 6.

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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Consider the initial value problem Find the eigenvalue X, an eigenvector ₁, and a generalized eigenvector 72 for the coefficient matrix of this linear system. λ = x₁(t): = x₂(t) = x₂ (t) = help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use c₁ and c₂ to denote arbitrary constants, and enter them as "c1" and "c2". Solve the original initial value problem. x₁(t) = , V₁ = V1 = = , V₂ = help (formulas) help (formulas) help (formulas) x₁ x₂ help (formulas) = = 3x2, x₁ (0) = 2, -3x1 +6x2, x₂(0) = 6.
Transcribed Image Text:Consider the initial value problem Find the eigenvalue X, an eigenvector ₁, and a generalized eigenvector 72 for the coefficient matrix of this linear system. λ = x₁(t): = x₂(t) = x₂ (t) = help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use c₁ and c₂ to denote arbitrary constants, and enter them as "c1" and "c2". Solve the original initial value problem. x₁(t) = , V₁ = V1 = = , V₂ = help (formulas) help (formulas) help (formulas) x₁ x₂ help (formulas) = = 3x2, x₁ (0) = 2, -3x1 +6x2, x₂(0) = 6.
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