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-57 26] The matrix has eigenvalues \1 = -5 and X2 = 8. Find eigenvectors -130 60 corresponding to these eigenvalues. v1 = [8] and v2 = help (matrices) Find the solution to the linear system of differential equations x' = -57x+26y satisfying the initial conditions x (0) y' = -130x + 60y = 1 and y(0) = 1. x(t) = = help (formulas) y(t) = help (formulas) Book: Section 3.4 of Notes on Diffy Qs

-57 26] The matrix has eigenvalues \1 = -5 and X2 = 8. Find eigenvectors -130 60 corresponding to these eigenvalues. v1 = [8] and v2 = help (matrices) Find the solution to the linear system of differential equations x' = -57x+26y satisfying the initial conditions x (0) y' = -130x + 60y = 1 and y(0) = 1. x(t) = = help (formulas) y(t) = help (formulas) Book: Section 3.4 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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-57 26] The matrix has eigenvalues \1 = -5 and X2 = 8. Find eigenvectors -130 60 corresponding to these eigenvalues. v1 = [8] and v2 = help (matrices) Find the solution to the linear system of differential equations x' = -57x+26y satisfying the initial conditions x (0) y' = -130x + 60y = 1 and y(0) = 1. x(t) = = help (formulas) y(t) = help (formulas) Book: Section 3.4 of Notes on Diffy Qs
Transcribed Image Text:-57 26] The matrix has eigenvalues \1 = -5 and X2 = 8. Find eigenvectors -130 60 corresponding to these eigenvalues. v1 = [8] and v2 = help (matrices) Find the solution to the linear system of differential equations x' = -57x+26y satisfying the initial conditions x (0) y' = -130x + 60y = 1 and y(0) = 1. x(t) = = help (formulas) y(t) = help (formulas) Book: Section 3.4 of Notes on Diffy Qs
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