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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=(7−84−5)A = \begin{pmatrix}7 & -8 \\ 4 & -5\end{pmatrix}: stable node, unstable node, or saddle?