Consider the nonlinear system of differential equations dax=(2²+1) (-36-24), 1/1 = (y+¹) (2y=x²-2x) do (a) - find ALL the critical points for this system (6)- compute the Jacobi matrix and hence determine the linearisation of the system at the point (0,0). (C)-using eigenvalues and eigenvectors, find the general solution of the linearised system in part (b) at the point (0,0)
Consider the nonlinear system of differential equations dax=(2²+1) (-36-24), 1/1 = (y+¹) (2y=x²-2x) do (a) - find ALL the critical points for this system (6)- compute the Jacobi matrix and hence determine the linearisation of the system at the point (0,0). (C)-using eigenvalues and eigenvectors, find the general solution of the linearised system in part (b) at the point (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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