(a) Write the eigenvalues and eigenvectors of Ax(t)Given X' = AX with X(t) = [(0)],x(t) =y(t)=1(b) Write the solution of the initial-value problem in terms of (t), y(t)X₁-140-2X₁=151 X(0) = [¯§].andand X₂X₂=

Solution to the system of differential equations

Answered: (a) Write the eigenvalues and…

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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(a) Write the eigenvalues and eigenvectors of A x(t) Given X' = AX with X(t) = [(0)], x(t) = y(t) = 1 (b) Write the solution of the initial-value problem in terms of (t), y(t) X₁ -140 -2 X₁ = 1 5 1 X(0) = [¯§]. and and X₂ X₂ =