[x'= x³ + xy - 196xy=y²-x²y - 98yA) Find all the equilibia of the system for which x ≥ 0 and y ≥0(0,0),(0,98), (14,84)B) There is one equilibrium where x > 0 and y > 0. Linearize the system at that equilibrium. What arethe eigenvalues of that linearization?Consider the systemA = 2361.027.213.973XC) Based on the results of part B, we can classify that equilibrium as a source

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Answered: [x'= x³ + xy - 196x y=y²-x²y - 98y A)…

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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