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) Consider the linear system X₁ = Y vi = | a. Find the eigenvalues and eigenvectors for the coefficient matrix. 18 = -3-2 b. Find the real-valued solution to the initial value problem {" 5 Use t as the independent variable in your answers. y₁ (t) = y₂(t) = 3 - 3y1 - 2y2, 5y₁ + 3y2, y. and X₂ = V2 y₁ (0) = 9, Y₂ (0) = -10.

) Consider the linear system X₁ = Y vi = | a. Find the eigenvalues and eigenvectors for the coefficient matrix. 18 = -3-2 b. Find the real-valued solution to the initial value problem {" 5 Use t as the independent variable in your answers. y₁ (t) = y₂(t) = 3 - 3y1 - 2y2, 5y₁ + 3y2, y. and X₂ = V2 y₁ (0) = 9, Y₂ (0) = -10.

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 linear system X₁ = Y a. Find the eigenvalues and eigenvectors for the coefficient matrix. 18 v1 = b. Find the real-valued solution to the initial value problem {{{ = -3 -2 5 -3] Use t as the independent variable in your answers. y₁ (t) Y₂ (t) - 3y1 - 2y2, 5y1 + 3y2, y." , and X₂ = V2 y₁ (0) = 9, Y₂ (0) = -10. ||
Transcribed Image Text:) Consider the linear system X₁ = Y a. Find the eigenvalues and eigenvectors for the coefficient matrix. 18 v1 = b. Find the real-valued solution to the initial value problem {{{ = -3 -2 5 -3] Use t as the independent variable in your answers. y₁ (t) Y₂ (t) - 3y1 - 2y2, 5y1 + 3y2, y." , and X₂ = V2 y₁ (0) = 9, Y₂ (0) = -10. ||
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