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Consider the initial value problem -4 I' = [~ 4 _1] *, *(0) = 2. 0 Find the eigenvalue X, an eigenvector ✓ 1, and a generalized eigenvector 2 for the coefficient matrix of this linear system. λ = v1 = 181-181 help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. x(t) = c1 + -[(8-8) help (formulas) help (matrices) Solve the original initial value problem. x1(t): x2(t) = = help (formulas) help (formulas) Book: Section 3.7 of Notes on Diffy Qs

Consider the initial value problem -4 I' = [~ 4 _1] *, *(0) = 2. 0 Find the eigenvalue X, an eigenvector ✓ 1, and a generalized eigenvector 2 for the coefficient matrix of this linear system. λ = v1 = 181-181 help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. x(t) = c1 + -[(8-8) help (formulas) help (matrices) Solve the original initial value problem. x1(t): x2(t) = = help (formulas) help (formulas) Book: Section 3.7 of Notes on Diffy Qs

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 -4 I' = [~ 4 _1] *, *(0) = 2. 0 Find the eigenvalue X, an eigenvector ✓ 1, and a generalized eigenvector 2 for the coefficient matrix of this linear system. λ = v1 = 181-181 help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. x(t) = c1 + -[(8-8) help (formulas) help (matrices) Solve the original initial value problem. x1(t): x2(t) = = help (formulas) help (formulas) Book: Section 3.7 of Notes on Diffy Qs
Transcribed Image Text:Consider the initial value problem -4 I' = [~ 4 _1] *, *(0) = 2. 0 Find the eigenvalue X, an eigenvector ✓ 1, and a generalized eigenvector 2 for the coefficient matrix of this linear system. λ = v1 = 181-181 help (numbers) help (matrices) Find the most general real-valued solution to the linear system of differential equations. Use t as the independent variable in your answers. x(t) = c1 + -[(8-8) help (formulas) help (matrices) Solve the original initial value problem. x1(t): x2(t) = = help (formulas) help (formulas) Book: Section 3.7 of Notes on Diffy Qs
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