Course Notes Pdf - Amath 250

Linearize the system around critical points using the Jacobian Matrix $J$. $$ J = \beginpmatrix \frac\partial P\partial x & \frac\partial P\partial y \ \frac\partial Q\partial x & \frac\partial Q\partial y \endpmatrix $$

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Constant coefficients and characteristic equations. Linearize the system around critical points using the