MathCastle
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=(5−48−7)A = \begin{pmatrix}5 & -4 \\ 8 & -7\end{pmatrix}: stable node, unstable node, or saddle?