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Differential EquationsMediumSystems of Differential Equations

Systems of Differential Equations · Medium problem

Classify the equilibrium at the origin of x′=Ax\mathbf x' = A\mathbf x with A=(−101−2)A = \begin{pmatrix}-1 & 0 \\ 1 & -2\end{pmatrix}: stable node, unstable node, or saddle?