Find a general solution to the system below.12 -88-4x'(t)=x(t)This system has a repeated eigenvalue and one linearly independent eigenvector. To find a general solution, firstobtain a nontrivial solution x, (t). Then, to obtain a second linearly independent solution, try x₂ (t)= teu₁ + e^u₂.where r is the eigenvalue of the matrix and u, is a corresponding eigenvector. Use the equation (A-I)u₂ − u₂ tofind the vector u₂x(t) =(Do not use d. D. e. E. i. or I as arbitrary constants since these letters already have defined meanings.)

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Answered: Find a general solution to the system…

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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