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Differential EquationsEasyNonlinear Systems & Linearization

Nonlinear Systems & Linearization · Easy problem

The system x′=x2+y2−5,  y′=xy−2x' = x^2 + y^2 - 5,\; y' = xy - 2 has an equilibrium at (1,2)(1, 2). Find the determinant of the Jacobian matrix of the system at (1,2)(1, 2).