Needed to be solved Part C and D correctly in 10 minutes and get the thumbs up please show neat and clean work for it Consider the following initial value problem*-* *-[2].x(0)=4 71dxdtX,where x =-x₁(t)x₂(t)(a) Calculate the matrices B and G of the real canonical formdydtX= = Gy,By.(b) Sketch the phase portrait on the (y₁, y2) plane, displaying thetypical orbits and directions.(c) Hence determine the type and stability of the equilibrium pointXe = 0.(d) Solve the initial value problem of x.4

Given : dxdt =1447x , x0 =21 To find : type and stability : solve…

Answered: (c) Hence determine the type 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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(c) Hence determine the type and stability of the equilibrium point Xe = 0. (d) Solve the initial value problem of x.