A system of first-order differential equation consists of: y₁ = 3y₁ + 5y2, and y2 = -y₁-3y2- (1) Write the equations for the system in matrix form, Y'. Evaluate the eigenvalues, ₁ and ₂ for the system, and the corresponding eigenvectors, V₁ and V₂. (iii) Find the general solutions, y₁ and y2, for the system. (ii) 11
A system of first-order differential equation consists of: y₁ = 3y₁ + 5y2, and y2 = -y₁-3y2- (1) Write the equations for the system in matrix form, Y'. Evaluate the eigenvalues, ₁ and ₂ for the system, and the corresponding eigenvectors, V₁ and V₂. (iii) Find the general solutions, y₁ and y2, for the system. (ii) 11
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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dear ans quickly and work in ODE form thanks
Transcribed Image Text:A system of first-order differential equation consists of:
y₁ = 3y₁ + 5y2, and y2 = -Y₁-3y2-
(1) Write the equations for the system in matrix form, Y'.
(ii) Evaluate the eigenvalues, ₁ and 2 for the system, and the corresponding
eigenvectors, V₁ and V₂.
(iii) Find the general solutions, y₁ and y2, for the system.
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