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Differential EquationsMediumNonlinear Systems & Linearization

Nonlinear Systems & Linearization · Medium problem

The system x′=y,  y′=−2x−3y+x2x' = y,\; y' = -2x - 3y + x^2 has two equilibria. At the one that is not the origin, the linearization has one positive eigenvalue. Find it in simplest radical form.