The following equation is the general solution of a system of differential equations $$ \mathbf{y}^{\prime}=A \mathbf{y} $$. Select the type eigenvalues $$ A $$ has. $$ \left[\begin{array}{l}y_{1} \ y_{2}\end{array} ight]=k_{1}\left[\begin{array}{l}5 \ 2\end{array} ight] e^{4 t}+k_{2}\left[\begin{array}{l}2 \ 1\end{array} ight] e^{3 t} $$ Relect Repeated real eigenvalues Complex eigenvalues

Question

The following equation is the general solution of a system of differential equations $$ \mathbf{y}^{\prime}=A \mathbf{y} $$. Select the type eigenvalues $$ A $$ has. $$ \left[\begin{array}{l}y_{1} \ y_{2}\end{array}ight]=k_{1}\left[\begin{array}{l}5 \ 2\end{array}ight] e^{4 t}+k_{2}\left[\begin{array}{l}2 \ 1\end{array}ight] e^{3 t} $$ Relect Repeated real eigenvalues Complex eigenvalues

Erickson Nguyen · Accepted Answer

The matrix $$ A $$ has distinct real eigenvalues.

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