Please help answer this question, thank you d(x)dedyata)find all critical pointsb) find the jacobi matrix and the linearisation ofเthe System at (0,0)c)(x+1)(-x-2y)= (y+1) (2y-k²-21₁)e)d) findfuse eigenvalues & exgenvectors to find the generalsolution of the linearived system at (0,0).any straight line orbite & direction.behaviour of the Orbits as +→00behaviour of the Orbits as t→-00find the slope when Orbits cross the coordinate axes.phare portrait around (0,0)Sketch aUse PPLANE to sketch aglobal phate portrait for the nonlinearof -4≤x≤3⑥ -30 & y(0) <0from global phase portrant, what happens to xlt) and y(t) as t-ts.

d(x) = (x+1)(-x-2y) dt dy dt (y+1) (2y-1²-2x) a) find all critical points 6) find the jacobi matrix and the linearisation of the System at (0,0) c) use eigenvalues & eigenvectors to find the general. solution of the linearived system at (0,0).

d(x) = (x+1)(-x-2y) dt dy dt (y+1) (2y-1²-2x) a) find all critical points 6) find the jacobi matrix and the linearisation of the System at (0,0) c) use eigenvalues & eigenvectors to find the general. solution of the linearived system at (0,0).

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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