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Solve the following initial value problems for the systems of equations using the matrix method. Find eigenvalues and eigenvectors by hand (but you can use technology to check your answers) (a) (b) y' = x₁ = x2 6x + 3y -4x- -y 7 2x1 - 5x2 4x1 - 2x2 x(0) = 3, y(0) = -2. , *₁(0) = 1, ₂(0) = 1.

Solve the following initial value problems for the systems of equations using the matrix method. Find eigenvalues and eigenvectors by hand (but you can use technology to check your answers) (a) (b) y' = x₁ = x2 6x + 3y -4x- -y 7 2x1 - 5x2 4x1 - 2x2 x(0) = 3, y(0) = -2. , *₁(0) = 1, ₂(0) = 1.

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 following initial value problems for the systems of equations using the matrix method. Find eigenvalues and eigenvectors by hand (but you can use technology to check your answers) (a) (b) x' = y' I x2 - 6x + 3y -4x-y 2 2x1 - 5x2 4x1 - 2x2 x(0) = 3, y(0) = -2. 2₁ (0) = 1, ₂ (0) = 1. 7
Transcribed Image Text:Solve the following initial value problems for the systems of equations using the matrix method. Find eigenvalues and eigenvectors by hand (but you can use technology to check your answers) (a) (b) x' = y' I x2 - 6x + 3y -4x-y 2 2x1 - 5x2 4x1 - 2x2 x(0) = 3, y(0) = -2. 2₁ (0) = 1, ₂ (0) = 1. 7
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