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Differential EquationsHardNonlinear Systems & Linearization

Nonlinear Systems & Linearization · Hard problem

The system x′=y−x2,  y′=x2−4x' = y-x^2,\; y' = x^2-4 has two equilibria. At the one with x=−2x=-2, the Jacobian's two eigenvalues coincide. Find that repeated eigenvalue.