1. Using the eigenvalue method, solve the initial value problem. Leave your solution in real-valued form.(b)(a)x1 = x2, x2 = -5x1 - 4x2,x1(0) = 1, x2(0) = 0.Classify the linear system from part (a) and sketch a phase portrait.

Answered: 1. Using the eigenvalue method, solve…

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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1. Using the eigenvalue method, solve the initial value problem. Leave your solution in real-valued form. (b) (a) x1 = x2, x2 = -5x1 - 4x2, x1(0) = 1, x2(0) = 0. Classify the linear system from part (a) and sketch a phase portrait.